Formula required C7XC7-S4 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C7XC7-S4 Hamiltonian number of vertices: 4 By formula Formula required C8XC8-S5 v = 2 0 1 0 1 Not Hamiltonian Formula required C9XC9-S5 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C10XC10-S6 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C10XC10-S7 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C11XC11-S6 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C11XC11-S6 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C11XC11-S6 Hamiltonian number of vertices: 8 By formula Formula required C11XC11-S7 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C11XC11-S7 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C11XC11-S7 Hamiltonian number of vertices: 9 By formula Formula required C11XC11-S8 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C11XC11-S8 Hamiltonian number of vertices: 8 By formula Formula required C12XC12-S7 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian Formula required C12XC12-S8 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian Formula required C12XC12-S9 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian Formula required C13XC13-S8 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C13XC13-S8 Hamiltonian number of vertices: 4 By formula Formula required C13XC13-S9 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C13XC13-S9 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C13XC13-S9 Hamiltonian number of vertices: 9 By formula Formula required C13XC13-S10 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C13XC13-S10 Hamiltonian number of vertices: 8 By formula Formula required C14XC14-S9 v = 2 0 1 0 1 Not Hamiltonian Formula required C14XC14-S10 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C14XC14-S11 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C15XC15-S8 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C15XC15-S8 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C15XC15-S8 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian Formula required C15XC15-S8 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C15XC15-S11 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C16XC16-S9 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian Formula required C16XC16-S9 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C16XC16-S11 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C16XC16-S13 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C17XC17-S10 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C17XC17-S10 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian Formula required C17XC17-S10 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C17XC17-S10 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian Formula required C17XC17-S12 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C17XC17-S12 Hamiltonian number of vertices: 8 By formula Formula required C17XC17-S14 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C17XC17-S14 Hamiltonian number of vertices: 12 By formula Formula required C18XC18-S11 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian Formula required C18XC18-S11 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C18XC18-S11 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian Formula required C18XC18-S13 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian Formula required C18XC18-S15 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian Formula required C19XC19-S10 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C19XC19-S10 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C19XC19-S10 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C19XC19-S10 Hamiltonian number of vertices: 16 By formula Formula required C19XC19-S12 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C19XC19-S12 Hamiltonian number of vertices: 4 By formula Formula required C19XC19-S12 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C19XC19-S12 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C19XC19-S12 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C19XC19-S12 Hamiltonian number of vertices: 15 By formula Formula required C19XC19-S14 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C19XC19-S14 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C19XC19-S14 Hamiltonian number of vertices: 16 By formula Formula required C19XC19-S16 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C19XC19-S16 Hamiltonian number of vertices: 12 By formula Formula required C20XC20-S11 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian Formula required C20XC20-S13 v = 2 0 1 0 1 Not Hamiltonian Formula required C20XC20-S13 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian Formula required C20XC20-S15 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian Formula required C20XC20-S17 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C21XC21-S11 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C21XC21-S12 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C21XC21-S12 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C21XC21-S12 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C21XC21-S14 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C21XC21-S14 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C21XC21-S14 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C21XC21-S14 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C21XC21-S14 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian Formula required C21XC21-S16 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C21XC21-S16 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C21XC21-S16 Hamiltonian number of vertices: 16 By formula Formula required C21XC21-S17 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian Formula required C22XC22-S12 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C22XC22-S13 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian Formula required C22XC22-S15 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C22XC22-S15 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C22XC22-S15 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian Formula required C22XC22-S15 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C22XC22-S17 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian Formula required C22XC22-S18 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian Formula required C22XC22-S19 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian Formula required C23XC23-S12 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C23XC23-S12 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C23XC23-S12 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C23XC23-S12 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 8 9 10 11 12 13 14 15 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 C23XC23-S12 Hamiltonian number of vertices: 20 By formula Formula required C23XC23-S13 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C23XC23-S13 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C23XC23-S13 Hamiltonian number of vertices: 9 By formula Formula required C23XC23-S14 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C23XC23-S14 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian Formula required C23XC23-S16 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C23XC23-S16 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C23XC23-S16 Hamiltonian number of vertices: 15 By formula Formula required C23XC23-S16 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C23XC23-S16 Hamiltonian number of vertices: 8 By formula Formula required C23XC23-S18 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C23XC23-S18 Hamiltonian number of vertices: 8 By formula Formula required C23XC23-S19 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C23XC23-S19 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 C23XC23-S19 Hamiltonian number of vertices: 18 By formula Formula required C23XC23-S20 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C23XC23-S20 Hamiltonian number of vertices: 16 By formula Formula required C24XC24-S13 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 8 9 10 11 12 13 14 15 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 Not Hamiltonian Formula required C24XC24-S14 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian Formula required C24XC24-S15 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C24XC24-S17 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C24XC24-S17 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian Formula required C24XC24-S17 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian Formula required C24XC24-S19 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C24XC24-S20 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian Formula required C24XC24-S21 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian Formula required C25XC25-S14 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C25XC25-S14 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C25XC25-S14 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 8 9 10 11 12 13 14 15 6 7 0 C25XC25-S14 Hamiltonian number of vertices: 16 By formula Formula required C25XC25-S15 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C25XC25-S15 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C25XC25-S15 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C25XC25-S16 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C25XC25-S16 Hamiltonian number of vertices: 4 By formula Formula required C25XC25-S18 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C25XC25-S18 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C25XC25-S18 Hamiltonian number of vertices: 9 By formula Formula required C25XC25-S18 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C25XC25-S18 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C25XC25-S18 Hamiltonian number of vertices: 16 By formula Formula required C25XC25-S19 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C25XC25-S21 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C25XC25-S21 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C25XC25-S21 Hamiltonian number of vertices: 18 By formula Formula required C25XC25-S22 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C25XC25-S22 Hamiltonian number of vertices: 16 By formula Formula required C26XC26-S15 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian Formula required C26XC26-S16 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C26XC26-S16 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C26XC26-S16 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian Formula required C26XC26-S17 v = 2 0 1 0 1 Not Hamiltonian Formula required C26XC26-S19 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C26XC26-S19 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 Not Hamiltonian Formula required C26XC26-S20 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian Formula required C26XC26-S21 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian Formula required C26XC26-S22 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian Formula required C26XC26-S23 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian Formula required C27XC27-S14 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C27XC27-S14 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C27XC27-S14 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C27XC27-S14 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 8 9 10 11 12 13 14 15 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 Not Hamiltonian Formula required C27XC27-S14 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C27XC27-S16 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C27XC27-S16 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C27XC27-S16 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C27XC27-S16 Hamiltonian number of vertices: 12 By formula Formula required C27XC27-S17 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C27XC27-S17 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C27XC27-S17 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 Not Hamiltonian Formula required C27XC27-S20 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C27XC27-S20 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C27XC27-S20 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C27XC27-S20 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 Not Hamiltonian Formula required C27XC27-S21 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C27XC27-S21 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian Formula required C27XC27-S22 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C27XC27-S23 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian Formula required C28XC28-S15 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 8 9 10 11 12 13 14 15 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 Not Hamiltonian Formula required C28XC28-S15 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C28XC28-S17 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian Formula required C28XC28-S18 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C28XC28-S18 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C28XC28-S18 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 Not Hamiltonian Formula required C28XC28-S19 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C28XC28-S21 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 Not Hamiltonian Formula required C28XC28-S22 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C28XC28-S22 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 Not Hamiltonian Formula required C28XC28-S23 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 0 Not Hamiltonian Formula required C28XC28-S25 v = 10 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian Formula required C29XC29-S16 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C29XC29-S16 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C29XC29-S16 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C29XC29-S16 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 C29XC29-S16 Hamiltonian number of vertices: 20 By formula Formula required C29XC29-S16 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C29XC29-S16 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C29XC29-S16 Hamiltonian number of vertices: 9 By formula Formula required C29XC29-S18 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C29XC29-S18 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C29XC29-S18 Hamiltonian number of vertices: 8 By formula Formula required C29XC29-S19 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C29XC29-S19 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C29XC29-S19 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C29XC29-S19 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C29XC29-S19 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 C29XC29-S19 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 C29XC29-S19 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 C29XC29-S19 Hamiltonian number of vertices: 27 By formula Formula required C29XC29-S20 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C29XC29-S20 Hamiltonian number of vertices: 8 By formula Formula required C29XC29-S22 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C29XC29-S22 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C29XC29-S22 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 C29XC29-S22 Hamiltonian number of vertices: 24 By formula Formula required C29XC29-S23 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C29XC29-S23 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 2 0 1 C29XC29-S23 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 0 C29XC29-S23 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 C29XC29-S23 Hamiltonian number of vertices: 25 By formula Formula required C29XC29-S24 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C29XC29-S24 Hamiltonian number of vertices: 24 By formula Formula required C29XC29-S26 v = 10 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 C29XC29-S26 Hamiltonian number of vertices: 20 By formula Formula required C30XC30-S17 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 8 9 10 11 12 13 14 15 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 Not Hamiltonian Formula required C30XC30-S17 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian Formula required C30XC30-S19 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian Formula required C30XC30-S20 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 Not Hamiltonian Formula required C30XC30-S21 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian Formula required C30XC30-S23 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 Not Hamiltonian Formula required C30XC30-S24 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 Not Hamiltonian Formula required C30XC30-S25 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 Not Hamiltonian Formula required C30XC30-S27 v = 10 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 Not Hamiltonian Formula required C31XC31-S16 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C31XC31-S16 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C31XC31-S16 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C31XC31-S16 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C31XC31-S16 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 C31XC31-S16 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 C31XC31-S16 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 C31XC31-S16 Hamiltonian number of vertices: 28 By formula Formula required C31XC31-S18 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C31XC31-S18 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C31XC31-S18 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C31XC31-S18 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 8 9 10 11 12 13 14 15 2 3 4 5 6 C31XC31-S18 Hamiltonian number of vertices: 16 By formula Formula required C31XC31-S18 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C31XC31-S18 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C31XC31-S18 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C31XC31-S18 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C31XC31-S18 Hamiltonian number of vertices: 15 By formula Formula required C31XC31-S20 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C31XC31-S20 Hamiltonian number of vertices: 4 By formula Formula required C31XC31-S21 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C31XC31-S21 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C31XC31-S21 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C31XC31-S21 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C31XC31-S21 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 C31XC31-S21 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 C31XC31-S21 Hamiltonian number of vertices: 27 By formula Formula required C31XC31-S22 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C31XC31-S22 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C31XC31-S22 Hamiltonian number of vertices: 16 By formula Formula required C31XC31-S24 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C31XC31-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C31XC31-S24 Hamiltonian number of vertices: 16 By formula Formula required C31XC31-S25 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C31XC31-S25 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C31XC31-S25 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 C31XC31-S25 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 C31XC31-S25 Hamiltonian number of vertices: 25 By formula Formula required C31XC31-S26 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 C31XC31-S26 Hamiltonian number of vertices: 24 By formula Formula required C31XC31-S28 v = 10 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 C31XC31-S28 Hamiltonian number of vertices: 20 By formula Formula required C32XC32-S17 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 Not Hamiltonian Formula required C32XC32-S19 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 7 8 9 10 11 12 13 5 6 0 1 2 3 Not Hamiltonian Formula required C32XC32-S19 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C32XC32-S19 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian Formula required C32XC32-S21 v = 2 0 1 0 1 Not Hamiltonian Formula required C32XC32-S22 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C32XC32-S22 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C32XC32-S22 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 C32XC32-S22 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 Not Hamiltonian Formula required C32XC32-S23 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 Not Hamiltonian Formula required C32XC32-S25 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian Formula required C32XC32-S26 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 2 0 1 C32XC32-S26 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 Not Hamiltonian Formula required C32XC32-S27 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian Formula required C32XC32-S29 v = 10 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian Formula required C33XC33-S17 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C33XC33-S18 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C33XC33-S18 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 C33XC33-S18 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 Not Hamiltonian Formula required C33XC33-S20 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C33XC33-S20 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C33XC33-S20 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C33XC33-S20 Hamiltonian number of vertices: 12 By formula Formula required C33XC33-S20 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C33XC33-S20 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C33XC33-S20 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C33XC33-S20 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 C33XC33-S20 Hamiltonian number of vertices: 21 By formula Formula required C33XC33-S23 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C33XC33-S23 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C33XC33-S23 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 C33XC33-S23 Hamiltonian number of vertices: 21 By formula Formula required C33XC33-S24 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C33XC33-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C33XC33-S24 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C33XC33-S26 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C33XC33-S26 Hamiltonian number of vertices: 8 By formula Formula required C33XC33-S27 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C33XC33-S27 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian Formula required C33XC33-S28 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C33XC33-S29 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian Formula required C34XC34-S18 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C34XC34-S19 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 Not Hamiltonian Formula required C34XC34-S21 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian Formula required C34XC34-S21 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C34XC34-S21 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C34XC34-S21 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 Not Hamiltonian Formula required C34XC34-S23 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C34XC34-S24 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C34XC34-S24 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C34XC34-S24 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian Formula required C34XC34-S25 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 Not Hamiltonian Formula required C34XC34-S27 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C34XC34-S28 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian Formula required C34XC34-S29 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian Formula required C34XC34-S30 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian Formula required C34XC34-S31 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian Formula required C35XC35-S18 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C35XC35-S18 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C35XC35-S18 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 C35XC35-S18 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 C35XC35-S18 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 C35XC35-S18 Hamiltonian number of vertices: 32 By formula Formula required C35XC35-S19 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C35XC35-S19 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian Formula required C35XC35-S20 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C35XC35-S20 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C35XC35-S20 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C35XC35-S20 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 C35XC35-S20 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian Formula required C35XC35-S22 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C35XC35-S22 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C35XC35-S22 Hamiltonian number of vertices: 8 By formula Formula required C35XC35-S22 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C35XC35-S22 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C35XC35-S22 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C35XC35-S22 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C35XC35-S22 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 C35XC35-S22 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 C35XC35-S22 Hamiltonian number of vertices: 27 By formula Formula required C35XC35-S24 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C35XC35-S24 Hamiltonian number of vertices: 8 By formula Formula required C35XC35-S25 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C35XC35-S25 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C35XC35-S25 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C35XC35-S26 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C35XC35-S26 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C35XC35-S26 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 C35XC35-S26 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 C35XC35-S26 Hamiltonian number of vertices: 32 By formula Formula required C35XC35-S29 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C35XC35-S31 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 C35XC35-S31 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 C35XC35-S31 Hamiltonian number of vertices: 27 By formula Formula required C35XC35-S32 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C35XC35-S32 Hamiltonian number of vertices: 24 By formula Formula required C36XC36-S19 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 Not Hamiltonian Formula required C36XC36-S20 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C36XC36-S20 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C36XC36-S21 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 Not Hamiltonian Formula required C36XC36-S23 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian Formula required C36XC36-S23 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C36XC36-S23 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 C36XC36-S23 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 Not Hamiltonian Formula required C36XC36-S25 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian Formula required C36XC36-S26 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian Formula required C36XC36-S27 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 Not Hamiltonian Formula required C36XC36-S29 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C36XC36-S31 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian Formula required C36XC36-S32 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 Not Hamiltonian Formula required C36XC36-S33 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 Not Hamiltonian Formula required C37XC37-S20 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C37XC37-S20 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C37XC37-S20 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C37XC37-S20 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 4 5 6 7 0 1 2 3 8 C37XC37-S20 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C37XC37-S20 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 C37XC37-S20 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 Not Hamiltonian Formula required C37XC37-S21 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C37XC37-S21 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C37XC37-S21 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian Formula required C37XC37-S22 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C37XC37-S22 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C37XC37-S22 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 Not Hamiltonian Formula required C37XC37-S24 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C37XC37-S24 Hamiltonian number of vertices: 4 By formula Formula required C37XC37-S24 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C37XC37-S24 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C37XC37-S24 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C37XC37-S24 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C37XC37-S24 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 C37XC37-S24 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 C37XC37-S24 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 C37XC37-S24 Hamiltonian number of vertices: 33 By formula Formula required C37XC37-S26 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C37XC37-S26 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian Formula required C37XC37-S27 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C37XC37-S27 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C37XC37-S27 Hamiltonian number of vertices: 9 By formula Formula required C37XC37-S28 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C37XC37-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C37XC37-S28 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 C37XC37-S28 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 C37XC37-S28 Hamiltonian number of vertices: 32 By formula Formula required C37XC37-S30 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C37XC37-S30 Hamiltonian number of vertices: 12 By formula Formula required C37XC37-S32 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C37XC37-S32 Hamiltonian number of vertices: 16 By formula Formula required C37XC37-S33 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 C37XC37-S33 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 C37XC37-S33 Hamiltonian number of vertices: 27 By formula Formula required C37XC37-S34 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C37XC37-S34 Hamiltonian number of vertices: 24 By formula Formula required C38XC38-S21 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 Not Hamiltonian Formula required C38XC38-S22 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian Formula required C38XC38-S23 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian Formula required C38XC38-S25 v = 2 0 1 0 1 Not Hamiltonian Formula required C38XC38-S25 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C38XC38-S25 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C38XC38-S25 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 C38XC38-S25 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 Not Hamiltonian Formula required C38XC38-S27 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 Not Hamiltonian Formula required C38XC38-S28 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C38XC38-S29 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 Not Hamiltonian Formula required C38XC38-S31 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 Not Hamiltonian Formula required C38XC38-S33 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian Formula required C38XC38-S34 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian Formula required C38XC38-S35 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian Formula required C39XC39-S20 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C39XC39-S20 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C39XC39-S20 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 4 5 6 7 0 1 2 3 8 9 10 C39XC39-S20 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 C39XC39-S20 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 C39XC39-S20 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 C39XC39-S20 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 Not Hamiltonian Formula required C39XC39-S20 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C39XC39-S22 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C39XC39-S22 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 6 7 0 1 2 3 4 5 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 C39XC39-S22 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 Not Hamiltonian Formula required C39XC39-S23 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C39XC39-S23 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C39XC39-S23 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C39XC39-S23 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C39XC39-S23 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 C39XC39-S23 Hamiltonian number of vertices: 21 By formula Formula required C39XC39-S24 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C39XC39-S24 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C39XC39-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C39XC39-S26 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C39XC39-S26 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C39XC39-S26 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C39XC39-S26 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C39XC39-S26 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 C39XC39-S26 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 C39XC39-S26 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 C39XC39-S26 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 C39XC39-S26 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 Not Hamiltonian Formula required C39XC39-S28 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C39XC39-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C39XC39-S28 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 Not Hamiltonian Formula required C39XC39-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C39XC39-S30 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C39XC39-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C39XC39-S30 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C39XC39-S32 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C39XC39-S32 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C39XC39-S34 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C39XC39-S34 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 C39XC39-S34 Hamiltonian number of vertices: 32 By formula Formula required C39XC39-S35 v = 9 0 1 2 3 4 5 6 7 8 3 4 5 6 7 8 0 1 2 Not Hamiltonian Formula required C40XC40-S21 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 Not Hamiltonian Formula required C40XC40-S21 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C40XC40-S23 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 Not Hamiltonian Formula required C40XC40-S24 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C40XC40-S24 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C40XC40-S25 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C40XC40-S27 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C40XC40-S27 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C40XC40-S27 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 C40XC40-S27 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 C40XC40-S27 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 C40XC40-S27 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 Not Hamiltonian Formula required C40XC40-S27 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C40XC40-S29 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 Not Hamiltonian Formula required C40XC40-S31 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 Not Hamiltonian Formula required C40XC40-S33 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 Not Hamiltonian Formula required C40XC40-S35 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 Not Hamiltonian Formula required C40XC40-S37 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian Formula required C41XC41-S22 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C41XC41-S22 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C41XC41-S22 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C41XC41-S22 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 6 7 0 1 2 3 4 5 8 9 10 C41XC41-S22 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 C41XC41-S22 Hamiltonian number of vertices: 32 By formula Formula required C41XC41-S22 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C41XC41-S22 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C41XC41-S22 Hamiltonian number of vertices: 9 By formula Formula required C41XC41-S24 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C41XC41-S24 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C41XC41-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C41XC41-S24 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C41XC41-S24 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 C41XC41-S24 Hamiltonian number of vertices: 20 By formula Formula required C41XC41-S25 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C41XC41-S25 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C41XC41-S25 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 C41XC41-S25 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 C41XC41-S25 Hamiltonian number of vertices: 27 By formula Formula required C41XC41-S26 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C41XC41-S26 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian Formula required C41XC41-S28 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C41XC41-S28 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C41XC41-S28 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C41XC41-S28 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 C41XC41-S28 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 C41XC41-S28 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 C41XC41-S28 Hamiltonian number of vertices: 33 By formula Formula required C41XC41-S28 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C41XC41-S28 Hamiltonian number of vertices: 8 By formula Formula required C41XC41-S30 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C41XC41-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C41XC41-S30 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 C41XC41-S30 Hamiltonian number of vertices: 32 By formula Formula required C41XC41-S32 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C41XC41-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C41XC41-S32 Hamiltonian number of vertices: 16 By formula Formula required C41XC41-S34 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C41XC41-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 C41XC41-S34 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 C41XC41-S34 Hamiltonian number of vertices: 36 By formula Formula required C41XC41-S36 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C41XC41-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 C41XC41-S36 Hamiltonian number of vertices: 32 By formula Formula required C41XC41-S38 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 C41XC41-S38 Hamiltonian number of vertices: 28 By formula Formula required C42XC42-S23 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 Not Hamiltonian Formula required C42XC42-S23 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian Formula required C42XC42-S25 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 Not Hamiltonian Formula required C42XC42-S26 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C42XC42-S26 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 C42XC42-S26 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 Not Hamiltonian Formula required C42XC42-S27 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C42XC42-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 C42XC42-S29 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 Not Hamiltonian Formula required C42XC42-S29 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian Formula required C42XC42-S31 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 Not Hamiltonian Formula required C42XC42-S33 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian Formula required C42XC42-S35 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 Not Hamiltonian Formula required C42XC42-S37 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 Not Hamiltonian Formula required C42XC42-S39 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 Not Hamiltonian Formula required C43XC43-S22 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C43XC43-S22 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C43XC43-S22 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C43XC43-S22 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 C43XC43-S22 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 C43XC43-S22 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 C43XC43-S22 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 C43XC43-S22 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 C43XC43-S22 Hamiltonian number of vertices: 40 By formula Formula required C43XC43-S24 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C43XC43-S24 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C43XC43-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C43XC43-S24 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C43XC43-S24 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 C43XC43-S24 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C43XC43-S24 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 C43XC43-S24 Hamiltonian number of vertices: 28 By formula Formula required C43XC43-S24 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C43XC43-S24 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C43XC43-S24 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C43XC43-S24 Hamiltonian number of vertices: 15 By formula Formula required C43XC43-S26 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C43XC43-S26 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C43XC43-S26 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian Formula required C43XC43-S27 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C43XC43-S27 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C43XC43-S27 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C43XC43-S27 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 C43XC43-S27 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 C43XC43-S27 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C43XC43-S27 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 C43XC43-S27 Hamiltonian number of vertices: 33 By formula Formula required C43XC43-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C43XC43-S28 Hamiltonian number of vertices: 4 By formula Formula required C43XC43-S30 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C43XC43-S30 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C43XC43-S30 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C43XC43-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C43XC43-S30 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C43XC43-S30 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 C43XC43-S30 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 C43XC43-S30 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 Not Hamiltonian Formula required C43XC43-S30 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C43XC43-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian Formula required C43XC43-S32 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C43XC43-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C43XC43-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 C43XC43-S32 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C43XC43-S32 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 C43XC43-S32 Hamiltonian number of vertices: 40 By formula Formula required C43XC43-S34 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C43XC43-S34 Hamiltonian number of vertices: 8 By formula Formula required C43XC43-S36 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C43XC43-S36 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 C43XC43-S36 Hamiltonian number of vertices: 36 By formula Formula required C43XC43-S38 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C43XC43-S38 Hamiltonian number of vertices: 16 By formula Formula required C43XC43-S40 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 C43XC43-S40 Hamiltonian number of vertices: 28 By formula Formula required C44XC44-S23 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 Not Hamiltonian Formula required C44XC44-S25 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 Not Hamiltonian Formula required C44XC44-S25 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C44XC44-S25 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C44XC44-S25 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian Formula required C44XC44-S27 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian Formula required C44XC44-S28 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C44XC44-S28 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 C44XC44-S28 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 Not Hamiltonian Formula required C44XC44-S29 v = 2 0 1 0 1 Not Hamiltonian Formula required C44XC44-S31 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C44XC44-S31 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C44XC44-S31 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 Not Hamiltonian Formula required C44XC44-S31 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 Not Hamiltonian Formula required C44XC44-S33 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 Not Hamiltonian Formula required C44XC44-S35 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C44XC44-S37 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 Not Hamiltonian Formula required C44XC44-S39 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian Formula required C44XC44-S41 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian Formula required C45XC45-S23 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C45XC45-S24 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C45XC45-S24 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C45XC45-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C45XC45-S24 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 C45XC45-S24 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 C45XC45-S24 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 Not Hamiltonian Formula required C45XC45-S26 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C45XC45-S26 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C45XC45-S26 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 4 5 6 7 0 1 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 C45XC45-S26 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 C45XC45-S26 Hamiltonian number of vertices: 24 By formula Formula required C45XC45-S26 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C45XC45-S26 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C45XC45-S26 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 C45XC45-S26 Hamiltonian number of vertices: 21 By formula Formula required C45XC45-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C45XC45-S28 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C45XC45-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian Formula required C45XC45-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C45XC45-S29 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C45XC45-S29 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C45XC45-S29 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 C45XC45-S29 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 C45XC45-S29 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 C45XC45-S29 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 Not Hamiltonian Formula required C45XC45-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C45XC45-S32 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C45XC45-S32 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C45XC45-S32 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 Not Hamiltonian Formula required C45XC45-S32 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C45XC45-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C45XC45-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 Not Hamiltonian Formula required C45XC45-S34 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C45XC45-S34 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 C45XC45-S34 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 Not Hamiltonian Formula required C45XC45-S34 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C45XC45-S38 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C45XC45-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 C45XC45-S38 Hamiltonian number of vertices: 24 By formula Formula required C45XC45-S41 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C46XC46-S24 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C46XC46-S25 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 Not Hamiltonian Formula required C46XC46-S27 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 Not Hamiltonian Formula required C46XC46-S27 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C46XC46-S27 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C46XC46-S27 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian Formula required C46XC46-S29 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian Formula required C46XC46-S30 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C46XC46-S30 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C46XC46-S30 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 C46XC46-S30 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 C46XC46-S30 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 C46XC46-S30 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 Not Hamiltonian Formula required C46XC46-S31 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C46XC46-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C46XC46-S33 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C46XC46-S33 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian Formula required C46XC46-S33 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 Not Hamiltonian Formula required C46XC46-S35 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 Not Hamiltonian Formula required C46XC46-S35 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian Formula required C46XC46-S37 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C46XC46-S39 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian Formula required C46XC46-S41 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian Formula required C46XC46-S42 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian Formula required C46XC46-S43 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian Formula required C47XC47-S24 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C47XC47-S24 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C47XC47-S24 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C47XC47-S24 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C47XC47-S24 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C47XC47-S24 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 C47XC47-S24 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 C47XC47-S24 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 C47XC47-S24 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 C47XC47-S24 Hamiltonian number of vertices: 44 By formula Formula required C47XC47-S25 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C47XC47-S25 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C47XC47-S25 Hamiltonian number of vertices: 9 By formula Formula required C47XC47-S26 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C47XC47-S26 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C47XC47-S26 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C47XC47-S26 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 4 5 6 7 0 1 8 9 10 11 12 C47XC47-S26 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 C47XC47-S26 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 C47XC47-S26 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 C47XC47-S26 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 C47XC47-S26 Hamiltonian number of vertices: 32 By formula Formula required C47XC47-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C47XC47-S28 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C47XC47-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C47XC47-S28 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 4 5 6 7 0 1 2 3 8 9 10 C47XC47-S28 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 C47XC47-S28 Hamiltonian number of vertices: 20 By formula Formula required C47XC47-S28 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C47XC47-S28 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C47XC47-S28 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C47XC47-S28 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C47XC47-S28 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 C47XC47-S28 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 C47XC47-S28 Hamiltonian number of vertices: 27 By formula Formula required C47XC47-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C47XC47-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian Formula required C47XC47-S31 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C47XC47-S31 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 C47XC47-S31 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 C47XC47-S31 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 C47XC47-S31 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 C47XC47-S31 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 C47XC47-S31 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 C47XC47-S31 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 C47XC47-S31 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 C47XC47-S31 Hamiltonian number of vertices: 45 By formula Formula required C47XC47-S32 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C47XC47-S32 Hamiltonian number of vertices: 8 By formula Formula required C47XC47-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C47XC47-S34 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C47XC47-S34 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C47XC47-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian Formula required C47XC47-S34 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C47XC47-S34 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 C47XC47-S34 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 Not Hamiltonian Formula required C47XC47-S36 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C47XC47-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C47XC47-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C47XC47-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 C47XC47-S36 Hamiltonian number of vertices: 32 By formula Formula required C47XC47-S36 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C47XC47-S36 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C47XC47-S36 Hamiltonian number of vertices: 15 By formula Formula required C47XC47-S38 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C47XC47-S38 Hamiltonian number of vertices: 12 By formula Formula required C47XC47-S40 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C47XC47-S40 Hamiltonian number of vertices: 12 By formula Formula required C47XC47-S42 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C47XC47-S42 Hamiltonian number of vertices: 20 By formula Formula required C47XC47-S43 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 C47XC47-S43 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 C47XC47-S43 Hamiltonian number of vertices: 36 By formula Formula required C47XC47-S44 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 C47XC47-S44 Hamiltonian number of vertices: 32 By formula Formula required C48XC48-S25 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 Not Hamiltonian Formula required C48XC48-S26 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian Formula required C48XC48-S27 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 Not Hamiltonian Formula required C48XC48-S29 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian Formula required C48XC48-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C48XC48-S29 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 C48XC48-S29 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C48XC48-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian Formula required C48XC48-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C48XC48-S32 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 C48XC48-S32 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 Not Hamiltonian Formula required C48XC48-S33 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C48XC48-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian Formula required C48XC48-S35 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 Not Hamiltonian Formula required C48XC48-S37 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 Not Hamiltonian Formula required C48XC48-S37 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 0 3 4 5 6 7 C48XC48-S37 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 Not Hamiltonian Formula required C48XC48-S39 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian Formula required C48XC48-S41 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C48XC48-S43 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 Not Hamiltonian Formula required C48XC48-S44 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 Not Hamiltonian Formula required C48XC48-S45 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 Not Hamiltonian Formula required C49XC49-S26 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C49XC49-S26 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 7 8 9 10 11 12 13 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 C49XC49-S26 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 C49XC49-S26 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 C49XC49-S26 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 C49XC49-S26 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 C49XC49-S26 Hamiltonian number of vertices: 40 By formula Formula required C49XC49-S27 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C49XC49-S27 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C49XC49-S27 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C49XC49-S27 Hamiltonian number of vertices: 15 By formula Formula required C49XC49-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C49XC49-S28 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C49XC49-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C49XC49-S28 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 C49XC49-S28 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 Not Hamiltonian Formula required C49XC49-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C49XC49-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C49XC49-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C49XC49-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 6 7 0 1 2 3 4 5 8 9 10 C49XC49-S30 Hamiltonian number of vertices: 16 By formula Formula required C49XC49-S30 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C49XC49-S30 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C49XC49-S30 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C49XC49-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C49XC49-S30 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C49XC49-S30 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 C49XC49-S30 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 C49XC49-S30 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 C49XC49-S30 Hamiltonian number of vertices: 33 By formula Formula required C49XC49-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C49XC49-S32 Hamiltonian number of vertices: 4 By formula Formula required C49XC49-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C49XC49-S33 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C49XC49-S33 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C49XC49-S33 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C49XC49-S33 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 C49XC49-S33 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 C49XC49-S33 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 C49XC49-S33 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 C49XC49-S33 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 C49XC49-S33 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 C49XC49-S33 Hamiltonian number of vertices: 45 By formula Formula required C49XC49-S34 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C49XC49-S34 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C49XC49-S34 Hamiltonian number of vertices: 16 By formula Formula required C49XC49-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C49XC49-S36 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C49XC49-S36 Hamiltonian number of vertices: 9 By formula Formula required C49XC49-S36 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C49XC49-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C49XC49-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C49XC49-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 C49XC49-S36 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 C49XC49-S36 Hamiltonian number of vertices: 40 By formula Formula required C49XC49-S38 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C49XC49-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 C49XC49-S38 Hamiltonian number of vertices: 24 By formula Formula required C49XC49-S38 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C49XC49-S38 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 C49XC49-S38 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 C49XC49-S38 Hamiltonian number of vertices: 25 By formula Formula required C49XC49-S40 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C49XC49-S40 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C49XC49-S40 Hamiltonian number of vertices: 24 By formula Formula required C49XC49-S41 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian Formula required C49XC49-S44 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C49XC49-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 C49XC49-S44 Hamiltonian number of vertices: 40 By formula Formula required C49XC49-S45 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 C49XC49-S45 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 C49XC49-S45 Hamiltonian number of vertices: 36 By formula Formula required C49XC49-S46 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 C49XC49-S46 Hamiltonian number of vertices: 32 By formula Formula required C50XC50-S27 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 7 8 9 10 11 12 13 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 Not Hamiltonian Formula required C50XC50-S28 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C50XC50-S28 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C50XC50-S29 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C50XC50-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian Formula required C50XC50-S31 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C50XC50-S31 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 Not Hamiltonian Formula required C50XC50-S33 v = 2 0 1 0 1 Not Hamiltonian Formula required C50XC50-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 C50XC50-S34 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 C50XC50-S34 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 C50XC50-S34 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 C50XC50-S34 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 Not Hamiltonian Formula required C50XC50-S35 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C50XC50-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C50XC50-S37 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 Not Hamiltonian Formula required C50XC50-S39 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 Not Hamiltonian Formula required C50XC50-S39 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C50XC50-S39 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 C50XC50-S39 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 Not Hamiltonian Formula required C50XC50-S41 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 Not Hamiltonian Formula required C50XC50-S42 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian Formula required C50XC50-S43 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian Formula required C50XC50-S45 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 Not Hamiltonian Formula required C50XC50-S46 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian Formula required C50XC50-S47 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian Formula required C51XC51-S26 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C51XC51-S26 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C51XC51-S26 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C51XC51-S26 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 C51XC51-S26 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 C51XC51-S26 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 C51XC51-S26 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 C51XC51-S26 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 Not Hamiltonian Formula required C51XC51-S26 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C51XC51-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C51XC51-S28 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C51XC51-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C51XC51-S28 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C51XC51-S28 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 C51XC51-S28 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 C51XC51-S28 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 C51XC51-S28 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 C51XC51-S28 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 Not Hamiltonian Formula required C51XC51-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C51XC51-S29 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C51XC51-S29 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C51XC51-S29 Hamiltonian number of vertices: 21 By formula Formula required C51XC51-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C51XC51-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C51XC51-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 C51XC51-S30 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C51XC51-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C51XC51-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C51XC51-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian Formula required C51XC51-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C51XC51-S32 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C51XC51-S32 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C51XC51-S32 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 C51XC51-S32 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 C51XC51-S32 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 C51XC51-S32 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 Not Hamiltonian Formula required C51XC51-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C51XC51-S35 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C51XC51-S35 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C51XC51-S35 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C51XC51-S35 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 C51XC51-S35 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 C51XC51-S35 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 C51XC51-S35 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 Not Hamiltonian Formula required C51XC51-S36 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C51XC51-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C51XC51-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C51XC51-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C51XC51-S38 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C51XC51-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 C51XC51-S38 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 C51XC51-S38 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 Not Hamiltonian Formula required C51XC51-S40 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C51XC51-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C51XC51-S40 Hamiltonian number of vertices: 16 By formula Formula required C51XC51-S40 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C51XC51-S40 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 0 3 4 5 6 7 C51XC51-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C51XC51-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 C51XC51-S40 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 C51XC51-S40 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 5 6 0 1 C51XC51-S40 Hamiltonian number of vertices: 35 By formula Formula required C51XC51-S41 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian Formula required C51XC51-S42 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C51XC51-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 C51XC51-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian Formula required C51XC51-S43 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 1 0 2 3 4 5 C51XC51-S43 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 0 3 4 Not Hamiltonian Formula required C51XC51-S44 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C51XC51-S44 Hamiltonian number of vertices: 16 By formula Formula required C51XC51-S46 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C51XC51-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 C51XC51-S46 Hamiltonian number of vertices: 40 By formula Formula required C51XC51-S47 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C52XC52-S27 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 Not Hamiltonian Formula required C52XC52-S27 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C52XC52-S29 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 7 8 9 10 11 12 13 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 Not Hamiltonian Formula required C52XC52-S30 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C52XC52-S30 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C52XC52-S30 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 C52XC52-S30 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 Not Hamiltonian Formula required C52XC52-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 0 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C52XC52-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian Formula required C52XC52-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C52XC52-S33 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C52XC52-S33 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 C52XC52-S33 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 C52XC52-S33 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 Not Hamiltonian Formula required C52XC52-S35 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C52XC52-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C52XC52-S36 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C52XC52-S36 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian Formula required C52XC52-S37 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 Not Hamiltonian Formula required C52XC52-S39 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 Not Hamiltonian Formula required C52XC52-S41 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian Formula required C52XC52-S41 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 2 C52XC52-S41 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 Not Hamiltonian Formula required C52XC52-S42 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C52XC52-S43 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 Not Hamiltonian Formula required C52XC52-S44 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 0 1 3 4 C52XC52-S44 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian Formula required C52XC52-S45 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian Formula required C52XC52-S47 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 Not Hamiltonian Formula required C52XC52-S49 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian Formula required C53XC53-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C53XC53-S28 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C53XC53-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 4 C53XC53-S28 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 C53XC53-S28 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 C53XC53-S28 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 C53XC53-S28 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 C53XC53-S28 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 C53XC53-S28 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 Not Hamiltonian Formula required C53XC53-S28 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C53XC53-S28 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian Formula required C53XC53-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C53XC53-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C53XC53-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 7 8 9 10 11 12 13 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 C53XC53-S30 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 C53XC53-S30 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 Not Hamiltonian Formula required C53XC53-S31 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C53XC53-S31 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C53XC53-S31 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C53XC53-S31 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C53XC53-S31 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 Not Hamiltonian Formula required C53XC53-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C53XC53-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C53XC53-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C53XC53-S32 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C53XC53-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 C53XC53-S32 Hamiltonian number of vertices: 20 By formula Formula required C53XC53-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C53XC53-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C53XC53-S34 Hamiltonian number of vertices: 8 By formula Formula required C53XC53-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C53XC53-S34 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C53XC53-S34 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C53XC53-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C53XC53-S34 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C53XC53-S34 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 C53XC53-S34 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 C53XC53-S34 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 C53XC53-S34 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 C53XC53-S34 Hamiltonian number of vertices: 45 By formula Formula required C53XC53-S36 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C53XC53-S36 Hamiltonian number of vertices: 8 By formula Formula required C53XC53-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C53XC53-S37 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 C53XC53-S37 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 C53XC53-S37 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 C53XC53-S37 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 C53XC53-S37 Hamiltonian number of vertices: 33 By formula Formula required C53XC53-S38 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C53XC53-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C53XC53-S38 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 C53XC53-S38 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 C53XC53-S38 Hamiltonian number of vertices: 32 By formula Formula required C53XC53-S40 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C53XC53-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C53XC53-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 C53XC53-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 C53XC53-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 C53XC53-S40 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 C53XC53-S40 Hamiltonian number of vertices: 48 By formula Formula required C53XC53-S42 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C53XC53-S42 Hamiltonian number of vertices: 8 By formula Formula required C53XC53-S42 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C53XC53-S42 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C53XC53-S42 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 C53XC53-S42 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 C53XC53-S42 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 C53XC53-S42 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 C53XC53-S42 Hamiltonian number of vertices: 45 By formula Formula required C53XC53-S43 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 Not Hamiltonian Formula required C53XC53-S44 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C53XC53-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C53XC53-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 C53XC53-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 C53XC53-S44 Hamiltonian number of vertices: 48 By formula Formula required C53XC53-S45 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 1 0 2 3 4 5 C53XC53-S45 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 C53XC53-S45 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 0 C53XC53-S45 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 C53XC53-S45 Hamiltonian number of vertices: 35 By formula Formula required C53XC53-S46 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C53XC53-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 Not Hamiltonian Formula required C53XC53-S48 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C53XC53-S48 Hamiltonian number of vertices: 20 By formula Formula required C53XC53-S50 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 C53XC53-S50 Hamiltonian number of vertices: 36 By formula Formula required C54XC54-S29 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 Not Hamiltonian Formula required C54XC54-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C54XC54-S29 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian Formula required C54XC54-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C54XC54-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C54XC54-S32 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 C54XC54-S32 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 Not Hamiltonian Formula required C54XC54-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian Formula required C54XC54-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian Formula required C54XC54-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C54XC54-S35 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 C54XC54-S35 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 C54XC54-S35 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 C54XC54-S35 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 Not Hamiltonian Formula required C54XC54-S37 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian Formula required C54XC54-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C54XC54-S38 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C54XC54-S38 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 Not Hamiltonian Formula required C54XC54-S39 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 Not Hamiltonian Formula required C54XC54-S41 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 Not Hamiltonian Formula required C54XC54-S43 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C54XC54-S43 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 0 3 4 5 6 7 C54XC54-S43 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 C54XC54-S43 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 C54XC54-S43 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 Not Hamiltonian Formula required C54XC54-S44 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 C54XC54-S44 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian Formula required C54XC54-S45 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 Not Hamiltonian Formula required C54XC54-S46 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 0 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 C54XC54-S46 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 Not Hamiltonian Formula required C54XC54-S47 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 Not Hamiltonian Formula required C54XC54-S49 v = 10 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian Formula required C54XC54-S51 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 Not Hamiltonian Formula required C55XC55-S28 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C55XC55-S28 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C55XC55-S28 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C55XC55-S28 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 8 9 10 11 12 13 14 15 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 C55XC55-S28 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 C55XC55-S28 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 C55XC55-S28 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 C55XC55-S28 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 C55XC55-S28 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 C55XC55-S28 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 C55XC55-S28 Hamiltonian number of vertices: 52 By formula Formula required C55XC55-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C55XC55-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C55XC55-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 7 8 9 10 11 12 13 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 6 C55XC55-S30 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 C55XC55-S30 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 C55XC55-S30 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 Not Hamiltonian Formula required C55XC55-S30 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C55XC55-S30 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C55XC55-S30 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C55XC55-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C55XC55-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C55XC55-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C55XC55-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C55XC55-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 C55XC55-S32 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C55XC55-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C55XC55-S33 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C55XC55-S33 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C55XC55-S33 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 C55XC55-S33 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 C55XC55-S33 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C55XC55-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C55XC55-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C55XC55-S34 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C55XC55-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 4 5 6 7 0 1 8 9 10 11 12 C55XC55-S34 Hamiltonian number of vertices: 16 By formula Formula required C55XC55-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C55XC55-S36 Hamiltonian number of vertices: 4 By formula Formula required C55XC55-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C55XC55-S36 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C55XC55-S36 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C55XC55-S36 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 C55XC55-S36 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 C55XC55-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 C55XC55-S36 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 C55XC55-S36 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 C55XC55-S36 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 C55XC55-S36 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 C55XC55-S36 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 C55XC55-S36 Hamiltonian number of vertices: 51 By formula Formula required C55XC55-S38 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C55XC55-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C55XC55-S38 Hamiltonian number of vertices: 16 By formula Formula required C55XC55-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C55XC55-S39 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C55XC55-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C55XC55-S39 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 C55XC55-S39 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 C55XC55-S39 Hamiltonian number of vertices: 27 By formula Formula required C55XC55-S40 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C55XC55-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C55XC55-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 C55XC55-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 C55XC55-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 Not Hamiltonian Formula required C55XC55-S42 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C55XC55-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C55XC55-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 Not Hamiltonian Formula required C55XC55-S44 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C55XC55-S44 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C55XC55-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 C55XC55-S44 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 0 C55XC55-S44 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 5 C55XC55-S44 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 0 C55XC55-S44 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 Not Hamiltonian Formula required C55XC55-S45 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C55XC55-S45 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 Not Hamiltonian Formula required C55XC55-S46 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C55XC55-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 C55XC55-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 C55XC55-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 C55XC55-S46 Hamiltonian number of vertices: 48 By formula Formula required C55XC55-S47 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 1 0 2 3 4 5 C55XC55-S47 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 0 1 3 4 C55XC55-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 0 1 2 C55XC55-S47 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 0 C55XC55-S47 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 5 C55XC55-S47 Hamiltonian number of vertices: 49 By formula Formula required C55XC55-S48 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C55XC55-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C55XC55-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 C55XC55-S48 Hamiltonian number of vertices: 48 By formula Formula required C55XC55-S49 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian Formula required C55XC55-S52 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 C55XC55-S52 Hamiltonian number of vertices: 36 By formula Formula required C56XC56-S29 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 8 9 10 11 12 13 14 15 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 Not Hamiltonian Formula required C56XC56-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 7 8 9 10 11 12 13 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 6 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 Not Hamiltonian Formula required C56XC56-S31 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C56XC56-S31 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian Formula required C56XC56-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 7 8 9 10 11 12 13 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 Not Hamiltonian Formula required C56XC56-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C56XC56-S34 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C56XC56-S34 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 C56XC56-S34 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C56XC56-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C56XC56-S37 v = 2 0 1 0 1 Not Hamiltonian Formula required C56XC56-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C56XC56-S37 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C56XC56-S37 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 C56XC56-S37 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 C56XC56-S37 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 C56XC56-S37 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 C56XC56-S37 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 C56XC56-S37 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 C56XC56-S37 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 Not Hamiltonian Formula required C56XC56-S39 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian Formula required C56XC56-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C56XC56-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 C56XC56-S40 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C56XC56-S41 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 Not Hamiltonian Formula required C56XC56-S43 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 Not Hamiltonian Formula required C56XC56-S45 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C56XC56-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 C56XC56-S45 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 C56XC56-S45 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 Not Hamiltonian Formula required C56XC56-S45 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian Formula required C56XC56-S46 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 C56XC56-S46 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 Not Hamiltonian Formula required C56XC56-S47 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 Not Hamiltonian Formula required C56XC56-S48 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 C56XC56-S48 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 0 C56XC56-S48 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 Not Hamiltonian Formula required C56XC56-S49 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 Not Hamiltonian Formula required C56XC56-S50 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian Formula required C56XC56-S51 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian Formula required C56XC56-S53 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian Formula required C57XC57-S29 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C57XC57-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C57XC57-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C57XC57-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 8 9 10 11 12 13 14 15 6 7 0 C57XC57-S30 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C57XC57-S30 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 C57XC57-S30 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 C57XC57-S30 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 C57XC57-S30 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 Not Hamiltonian Formula required C57XC57-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C57XC57-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C57XC57-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C57XC57-S32 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 7 8 9 10 11 12 13 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C57XC57-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 C57XC57-S32 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 C57XC57-S32 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 C57XC57-S32 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 C57XC57-S32 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 Not Hamiltonian Formula required C57XC57-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C57XC57-S32 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C57XC57-S32 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C57XC57-S32 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C57XC57-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C57XC57-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C57XC57-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 7 8 9 10 11 12 13 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 C57XC57-S34 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C57XC57-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C57XC57-S35 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C57XC57-S35 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 C57XC57-S35 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 C57XC57-S35 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 C57XC57-S35 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 C57XC57-S35 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 C57XC57-S35 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 C57XC57-S35 Hamiltonian number of vertices: 39 By formula Formula required C57XC57-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C57XC57-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C57XC57-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C57XC57-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C57XC57-S38 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C57XC57-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C57XC57-S38 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 C57XC57-S38 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 C57XC57-S38 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 C57XC57-S38 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 Not Hamiltonian Formula required C57XC57-S40 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C57XC57-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C57XC57-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 C57XC57-S40 Hamiltonian number of vertices: 24 By formula Formula required C57XC57-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C57XC57-S41 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C57XC57-S41 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C57XC57-S41 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 C57XC57-S41 Hamiltonian number of vertices: 21 By formula Formula required C57XC57-S42 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C57XC57-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C57XC57-S42 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 C57XC57-S42 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 C57XC57-S42 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 Not Hamiltonian Formula required C57XC57-S44 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C57XC57-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C57XC57-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 C57XC57-S44 Hamiltonian number of vertices: 32 By formula Formula required C57XC57-S46 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C57XC57-S46 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 0 3 4 5 6 7 C57XC57-S46 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 C57XC57-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 C57XC57-S46 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 5 6 0 C57XC57-S46 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 0 C57XC57-S46 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 Not Hamiltonian Formula required C57XC57-S46 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C57XC57-S47 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 C57XC57-S47 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 C57XC57-S47 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 C57XC57-S47 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 C57XC57-S47 Hamiltonian number of vertices: 42 By formula Formula required C57XC57-S48 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C57XC57-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C57XC57-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian Formula required C57XC57-S49 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 1 0 2 3 4 5 C57XC57-S49 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 0 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 0 C57XC57-S49 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 0 1 C57XC57-S49 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 0 C57XC57-S49 Hamiltonian number of vertices: 49 By formula Formula required C57XC57-S50 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C57XC57-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 Not Hamiltonian Formula required C57XC57-S50 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian Formula required C57XC57-S51 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 Not Hamiltonian Formula required C57XC57-S52 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C57XC57-S53 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian Formula required C58XC58-S30 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C58XC58-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 8 9 10 11 12 13 14 15 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 Not Hamiltonian Formula required C58XC58-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 Not Hamiltonian Formula required C58XC58-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C58XC58-S33 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C58XC58-S33 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C58XC58-S33 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C58XC58-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 Not Hamiltonian Formula required C58XC58-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C58XC58-S36 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C58XC58-S36 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C58XC58-S36 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 C58XC58-S36 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 C58XC58-S36 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 Not Hamiltonian Formula required C58XC58-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian Formula required C58XC58-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C58XC58-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C58XC58-S39 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 C58XC58-S39 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 C58XC58-S39 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 C58XC58-S39 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 Not Hamiltonian Formula required C58XC58-S39 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C58XC58-S41 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian Formula required C58XC58-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C58XC58-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C58XC58-S43 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 Not Hamiltonian Formula required C58XC58-S45 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 Not Hamiltonian Formula required C58XC58-S47 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 C58XC58-S47 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 5 6 0 1 C58XC58-S47 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 0 1 Not Hamiltonian Formula required C58XC58-S47 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 Not Hamiltonian Formula required C58XC58-S48 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C58XC58-S48 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 C58XC58-S48 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 Not Hamiltonian Formula required C58XC58-S49 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 Not Hamiltonian Formula required C58XC58-S50 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 0 1 3 4 C58XC58-S50 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 C58XC58-S50 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 Not Hamiltonian Formula required C58XC58-S51 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 Not Hamiltonian Formula required C58XC58-S51 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 Not Hamiltonian Formula required C58XC58-S52 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 C58XC58-S52 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 Not Hamiltonian Formula required C58XC58-S53 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 0 Not Hamiltonian Formula required C58XC58-S54 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian Formula required C58XC58-S55 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian Formula required C59XC59-S30 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C59XC59-S30 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C59XC59-S30 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C59XC59-S30 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 8 9 10 11 12 13 14 15 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C59XC59-S30 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 C59XC59-S30 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 C59XC59-S30 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 C59XC59-S30 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 C59XC59-S30 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 C59XC59-S30 Hamiltonian number of vertices: 56 By formula Formula required C59XC59-S31 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C59XC59-S31 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C59XC59-S31 Hamiltonian number of vertices: 9 By formula Formula required C59XC59-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C59XC59-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C59XC59-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C59XC59-S32 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C59XC59-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 C59XC59-S32 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 C59XC59-S32 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 C59XC59-S32 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 C59XC59-S32 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 C59XC59-S32 Hamiltonian number of vertices: 44 By formula Formula required C59XC59-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C59XC59-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C59XC59-S34 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 C59XC59-S34 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C59XC59-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C59XC59-S34 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C59XC59-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C59XC59-S34 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C59XC59-S34 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 C59XC59-S34 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian Formula required C59XC59-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C59XC59-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C59XC59-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C59XC59-S36 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 7 8 9 10 11 12 13 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C59XC59-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 C59XC59-S36 Hamiltonian number of vertices: 20 By formula Formula required C59XC59-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C59XC59-S37 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C59XC59-S37 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C59XC59-S37 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C59XC59-S37 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 C59XC59-S37 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 C59XC59-S37 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 C59XC59-S37 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 C59XC59-S37 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 C59XC59-S37 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 C59XC59-S37 Hamiltonian number of vertices: 45 By formula Formula required C59XC59-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C59XC59-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C59XC59-S38 Hamiltonian number of vertices: 8 By formula Formula required C59XC59-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C59XC59-S40 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C59XC59-S40 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C59XC59-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C59XC59-S40 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 C59XC59-S40 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C59XC59-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 C59XC59-S40 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 C59XC59-S40 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 C59XC59-S40 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 C59XC59-S40 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 C59XC59-S40 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 C59XC59-S40 Hamiltonian number of vertices: 51 By formula Formula required C59XC59-S40 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C59XC59-S40 Hamiltonian number of vertices: 8 By formula Formula required C59XC59-S42 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C59XC59-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C59XC59-S42 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C59XC59-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 C59XC59-S42 Hamiltonian number of vertices: 32 By formula Formula required C59XC59-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C59XC59-S43 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C59XC59-S43 Hamiltonian number of vertices: 15 By formula Formula required C59XC59-S44 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C59XC59-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C59XC59-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 C59XC59-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 C59XC59-S44 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 C59XC59-S44 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 C59XC59-S44 Hamiltonian number of vertices: 56 By formula Formula required C59XC59-S46 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C59XC59-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 C59XC59-S46 Hamiltonian number of vertices: 24 By formula Formula required C59XC59-S48 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C59XC59-S48 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C59XC59-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C59XC59-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 C59XC59-S48 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 2 C59XC59-S48 Hamiltonian number of vertices: 35 By formula Formula required C59XC59-S48 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C59XC59-S48 Hamiltonian number of vertices: 24 By formula Formula required C59XC59-S49 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 C59XC59-S49 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 C59XC59-S49 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 C59XC59-S49 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 C59XC59-S49 Hamiltonian number of vertices: 54 By formula Formula required C59XC59-S50 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C59XC59-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 C59XC59-S50 Hamiltonian number of vertices: 24 By formula Formula required C59XC59-S51 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 1 0 2 3 4 5 C59XC59-S51 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 C59XC59-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 0 1 2 C59XC59-S51 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 C59XC59-S51 Hamiltonian number of vertices: 35 By formula Formula required C59XC59-S52 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C59XC59-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C59XC59-S52 Hamiltonian number of vertices: 32 By formula Formula required C59XC59-S52 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C59XC59-S52 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 C59XC59-S52 Hamiltonian number of vertices: 27 By formula Formula required C59XC59-S53 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 C59XC59-S53 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 C59XC59-S53 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 C59XC59-S53 Hamiltonian number of vertices: 50 By formula Formula required C59XC59-S54 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 C59XC59-S54 Hamiltonian number of vertices: 48 By formula Formula required C59XC59-S55 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 C59XC59-S55 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 C59XC59-S55 Hamiltonian number of vertices: 45 By formula Formula required C59XC59-S56 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 C59XC59-S56 Hamiltonian number of vertices: 40 By formula Formula required C60XC60-S31 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 8 9 10 11 12 13 14 15 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 Not Hamiltonian Formula required C60XC60-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C60XC60-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 7 8 9 10 11 12 13 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 Not Hamiltonian Formula required C60XC60-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C60XC60-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C60XC60-S35 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 C60XC60-S35 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian Formula required C60XC60-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 7 8 9 10 11 12 13 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian Formula required C60XC60-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 C60XC60-S38 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 C60XC60-S38 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 Not Hamiltonian Formula required C60XC60-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C60XC60-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 C60XC60-S41 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 C60XC60-S41 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 C60XC60-S41 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 Not Hamiltonian Formula required C60XC60-S41 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian Formula required C60XC60-S43 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 Not Hamiltonian Formula required C60XC60-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C60XC60-S44 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C60XC60-S45 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 Not Hamiltonian Formula required C60XC60-S47 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 Not Hamiltonian Formula required C60XC60-S49 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 0 3 4 5 6 7 C60XC60-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 C60XC60-S49 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 Not Hamiltonian Formula required C60XC60-S49 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 Not Hamiltonian Formula required C60XC60-S50 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 C60XC60-S50 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 C60XC60-S50 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 Not Hamiltonian Formula required C60XC60-S51 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian Formula required C60XC60-S52 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 0 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian Formula required C60XC60-S53 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 Not Hamiltonian Formula required C60XC60-S53 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 Not Hamiltonian Formula required C60XC60-S54 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 Not Hamiltonian Formula required C60XC60-S55 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 Not Hamiltonian Formula required C60XC60-S56 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 Not Hamiltonian Formula required C60XC60-S57 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 Not Hamiltonian Formula required C61XC61-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C61XC61-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C61XC61-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C61XC61-S32 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C61XC61-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 C61XC61-S32 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 C61XC61-S32 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 C61XC61-S32 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 C61XC61-S32 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 C61XC61-S32 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 C61XC61-S32 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 C61XC61-S32 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 C61XC61-S32 Hamiltonian number of vertices: 52 By formula Formula required C61XC61-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C61XC61-S33 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C61XC61-S33 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C61XC61-S33 Hamiltonian number of vertices: 15 By formula Formula required C61XC61-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C61XC61-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C61XC61-S34 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C61XC61-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 7 8 9 10 11 12 13 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 8 9 10 11 12 13 14 15 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 C61XC61-S34 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 C61XC61-S34 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 C61XC61-S34 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 C61XC61-S34 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 C61XC61-S34 Hamiltonian number of vertices: 40 By formula Formula required C61XC61-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C61XC61-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C61XC61-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C61XC61-S36 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 4 C61XC61-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 C61XC61-S36 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C61XC61-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 C61XC61-S36 Hamiltonian number of vertices: 28 By formula Formula required C61XC61-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C61XC61-S36 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C61XC61-S36 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C61XC61-S36 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C61XC61-S36 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C61XC61-S36 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 C61XC61-S36 Hamiltonian number of vertices: 33 By formula Formula required C61XC61-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C61XC61-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 C61XC61-S38 Hamiltonian number of vertices: 16 By formula Formula required C61XC61-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C61XC61-S39 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C61XC61-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C61XC61-S39 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C61XC61-S39 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 C61XC61-S39 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 C61XC61-S39 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 C61XC61-S39 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 C61XC61-S39 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 C61XC61-S39 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 C61XC61-S39 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 Not Hamiltonian Formula required C61XC61-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C61XC61-S40 Hamiltonian number of vertices: 4 By formula Formula required C61XC61-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C61XC61-S42 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C61XC61-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C61XC61-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C61XC61-S42 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C61XC61-S42 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 C61XC61-S42 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 C61XC61-S42 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 C61XC61-S42 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 C61XC61-S42 Hamiltonian number of vertices: 45 By formula Formula required C61XC61-S42 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C61XC61-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C61XC61-S42 Hamiltonian number of vertices: 16 By formula Formula required C61XC61-S44 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C61XC61-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C61XC61-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 C61XC61-S44 Hamiltonian number of vertices: 40 By formula Formula required C61XC61-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C61XC61-S45 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C61XC61-S45 Hamiltonian number of vertices: 9 By formula Formula required C61XC61-S46 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C61XC61-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C61XC61-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 C61XC61-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 C61XC61-S46 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 C61XC61-S46 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 C61XC61-S46 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 C61XC61-S46 Hamiltonian number of vertices: 56 By formula Formula required C61XC61-S48 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C61XC61-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C61XC61-S48 Hamiltonian number of vertices: 16 By formula Formula required C61XC61-S50 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C61XC61-S50 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 C61XC61-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 C61XC61-S50 Hamiltonian number of vertices: 25 By formula Formula required C61XC61-S50 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 C61XC61-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 C61XC61-S50 Hamiltonian number of vertices: 36 By formula Formula required C61XC61-S51 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C61XC61-S51 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 C61XC61-S51 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 C61XC61-S51 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 C61XC61-S51 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 C61XC61-S51 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 C61XC61-S51 Hamiltonian number of vertices: 54 By formula Formula required C61XC61-S52 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C61XC61-S52 Hamiltonian number of vertices: 12 By formula Formula required C61XC61-S53 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 1 0 2 3 4 5 C61XC61-S53 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 0 1 3 4 C61XC61-S53 Hamiltonian number of vertices: 21 By formula Formula required C61XC61-S54 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C61XC61-S54 Hamiltonian number of vertices: 16 By formula Formula required C61XC61-S54 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C61XC61-S54 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 C61XC61-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 0 C61XC61-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 0 C61XC61-S54 Hamiltonian number of vertices: 45 By formula Formula required C61XC61-S55 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 C61XC61-S55 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 0 C61XC61-S55 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 C61XC61-S55 Hamiltonian number of vertices: 50 By formula Formula required C61XC61-S56 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 C61XC61-S56 Hamiltonian number of vertices: 48 By formula Formula required C61XC61-S57 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 C61XC61-S57 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 C61XC61-S57 Hamiltonian number of vertices: 45 By formula Formula required C61XC61-S58 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 C61XC61-S58 Hamiltonian number of vertices: 40 By formula Formula required C62XC62-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 8 9 10 11 12 13 14 15 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 10 11 Not Hamiltonian Formula required C62XC62-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C62XC62-S34 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian Formula required C62XC62-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 8 9 10 11 12 13 14 15 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 Not Hamiltonian Formula required C62XC62-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 7 8 9 10 11 12 13 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C62XC62-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C62XC62-S37 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 C62XC62-S37 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 C62XC62-S37 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 Not Hamiltonian Formula required C62XC62-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian Formula required C62XC62-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C62XC62-S40 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C62XC62-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 C62XC62-S40 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 C62XC62-S40 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 C62XC62-S40 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 Not Hamiltonian Formula required C62XC62-S41 v = 2 0 1 0 1 Not Hamiltonian Formula required C62XC62-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C62XC62-S43 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C62XC62-S43 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 C62XC62-S43 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 C62XC62-S43 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 C62XC62-S43 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 Not Hamiltonian Formula required C62XC62-S43 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C62XC62-S45 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 Not Hamiltonian Formula required C62XC62-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C62XC62-S47 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 Not Hamiltonian Formula required C62XC62-S49 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian Formula required C62XC62-S51 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C62XC62-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 Not Hamiltonian Formula required C62XC62-S51 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 Not Hamiltonian Formula required C62XC62-S52 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 C62XC62-S52 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 Not Hamiltonian Formula required C62XC62-S53 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C62XC62-S54 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian Formula required C62XC62-S55 v = 8 0 1 2 3 4 5 6 7 6 7 0 1 2 3 4 5 Not Hamiltonian Formula required C62XC62-S55 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 C62XC62-S55 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 C62XC62-S55 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 Not Hamiltonian Formula required C62XC62-S56 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 C62XC62-S56 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 Not Hamiltonian Formula required C62XC62-S57 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 Not Hamiltonian Formula required C62XC62-S58 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian Formula required C62XC62-S59 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian Formula required C63XC63-S32 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C63XC63-S32 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C63XC63-S32 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C63XC63-S32 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 C63XC63-S32 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 C63XC63-S32 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C63XC63-S32 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 C63XC63-S32 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 C63XC63-S32 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 Not Hamiltonian Formula required C63XC63-S32 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C63XC63-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C63XC63-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C63XC63-S34 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 8 9 10 11 12 13 14 15 2 3 4 5 6 C63XC63-S34 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 C63XC63-S34 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 C63XC63-S34 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 C63XC63-S34 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 C63XC63-S34 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 C63XC63-S34 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 C63XC63-S34 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 C63XC63-S34 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 C63XC63-S34 Hamiltonian number of vertices: 48 By formula Formula required C63XC63-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C63XC63-S35 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C63XC63-S35 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C63XC63-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C63XC63-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C63XC63-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 8 9 10 11 12 13 14 15 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 C63XC63-S36 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 C63XC63-S36 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C63XC63-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C63XC63-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C63XC63-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 7 8 9 10 11 12 13 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 6 C63XC63-S38 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 C63XC63-S38 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian Formula required C63XC63-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C63XC63-S38 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C63XC63-S38 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C63XC63-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C63XC63-S38 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 C63XC63-S38 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 C63XC63-S38 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C63XC63-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C63XC63-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C63XC63-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C63XC63-S40 Hamiltonian number of vertices: 12 By formula Formula required C63XC63-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C63XC63-S41 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C63XC63-S41 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 C63XC63-S41 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 C63XC63-S41 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 C63XC63-S41 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 C63XC63-S41 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 C63XC63-S41 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 C63XC63-S41 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 Not Hamiltonian Formula required C63XC63-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C63XC63-S44 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C63XC63-S44 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 C63XC63-S44 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 C63XC63-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 C63XC63-S44 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 C63XC63-S44 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 C63XC63-S44 Hamiltonian number of vertices: 39 By formula Formula required C63XC63-S44 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C63XC63-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C63XC63-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 C63XC63-S44 Hamiltonian number of vertices: 24 By formula Formula required C63XC63-S46 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C63XC63-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C63XC63-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 C63XC63-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 C63XC63-S46 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 C63XC63-S46 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 C63XC63-S46 Hamiltonian number of vertices: 48 By formula Formula required C63XC63-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C63XC63-S48 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C63XC63-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C63XC63-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 C63XC63-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 C63XC63-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 Not Hamiltonian Formula required C63XC63-S50 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C63XC63-S50 Hamiltonian number of vertices: 8 By formula Formula required C63XC63-S52 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C63XC63-S52 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 0 3 4 5 6 7 C63XC63-S52 Hamiltonian number of vertices: 15 By formula Formula required C63XC63-S52 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C63XC63-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 C63XC63-S52 Hamiltonian number of vertices: 48 By formula Formula required C63XC63-S53 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 C63XC63-S53 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 C63XC63-S53 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 C63XC63-S53 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 Not Hamiltonian Formula required C63XC63-S55 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian Formula required C63XC63-S56 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C63XC63-S56 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 C63XC63-S56 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 Not Hamiltonian Formula required C63XC63-S57 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 Not Hamiltonian Formula required C63XC63-S58 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C63XC63-S59 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian Formula required C64XC64-S33 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 9 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 4 5 Not Hamiltonian Formula required C64XC64-S33 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C64XC64-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 8 9 10 11 12 13 14 15 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 Not Hamiltonian Formula required C64XC64-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C64XC64-S36 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C64XC64-S36 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C64XC64-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 8 9 10 11 12 13 14 15 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C64XC64-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 7 8 9 10 11 12 13 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 Not Hamiltonian Formula required C64XC64-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C64XC64-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C64XC64-S39 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 C64XC64-S39 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 C64XC64-S39 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C64XC64-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian Formula required C64XC64-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C64XC64-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C64XC64-S42 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 C64XC64-S42 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 C64XC64-S42 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 C64XC64-S42 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 C64XC64-S42 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 Not Hamiltonian Formula required C64XC64-S43 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C64XC64-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C64XC64-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C64XC64-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 C64XC64-S45 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 Not Hamiltonian Formula required C64XC64-S45 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian Formula required C64XC64-S47 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 Not Hamiltonian Formula required C64XC64-S49 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 Not Hamiltonian Formula required C64XC64-S51 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C64XC64-S53 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian Formula required C64XC64-S53 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 Not Hamiltonian Formula required C64XC64-S54 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C64XC64-S54 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 C64XC64-S54 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian Formula required C64XC64-S55 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C64XC64-S57 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 C64XC64-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 C64XC64-S57 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 Not Hamiltonian Formula required C64XC64-S57 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian Formula required C64XC64-S58 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian Formula required C64XC64-S59 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian Formula required C64XC64-S61 v = 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian Formula required C65XC65-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C65XC65-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C65XC65-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 C65XC65-S34 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 C65XC65-S34 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 C65XC65-S34 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 C65XC65-S34 Hamiltonian number of vertices: 56 By formula Formula required C65XC65-S34 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C65XC65-S34 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C65XC65-S34 Hamiltonian number of vertices: 9 By formula Formula required C65XC65-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C65XC65-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C65XC65-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C65XC65-S36 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 8 9 10 11 12 13 14 15 4 5 6 7 0 C65XC65-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C65XC65-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 C65XC65-S36 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 C65XC65-S36 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 C65XC65-S36 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 C65XC65-S36 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 C65XC65-S36 Hamiltonian number of vertices: 44 By formula Formula required C65XC65-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C65XC65-S37 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C65XC65-S37 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C65XC65-S37 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C65XC65-S37 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 C65XC65-S37 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian Formula required C65XC65-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C65XC65-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C65XC65-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C65XC65-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 8 9 10 11 12 13 14 15 6 7 0 C65XC65-S38 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 C65XC65-S38 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 C65XC65-S38 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 C65XC65-S38 Hamiltonian number of vertices: 32 By formula Formula required C65XC65-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C65XC65-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C65XC65-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C65XC65-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C65XC65-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C65XC65-S40 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C65XC65-S40 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C65XC65-S40 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C65XC65-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 C65XC65-S40 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C65XC65-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian Formula required C65XC65-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C65XC65-S43 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C65XC65-S43 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C65XC65-S43 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C65XC65-S43 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 C65XC65-S43 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 C65XC65-S43 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 C65XC65-S43 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 C65XC65-S43 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 C65XC65-S43 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 0 1 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 C65XC65-S43 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 C65XC65-S43 Hamiltonian number of vertices: 63 By formula Formula required C65XC65-S44 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C65XC65-S44 Hamiltonian number of vertices: 8 By formula Formula required C65XC65-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C65XC65-S46 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C65XC65-S46 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C65XC65-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C65XC65-S46 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 C65XC65-S46 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 C65XC65-S46 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 C65XC65-S46 Hamiltonian number of vertices: 33 By formula Formula required C65XC65-S46 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C65XC65-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C65XC65-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 C65XC65-S46 Hamiltonian number of vertices: 32 By formula Formula required C65XC65-S48 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C65XC65-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C65XC65-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C65XC65-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 C65XC65-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 C65XC65-S48 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 C65XC65-S48 Hamiltonian number of vertices: 56 By formula Formula required C65XC65-S49 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S50 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C65XC65-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C65XC65-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 C65XC65-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 C65XC65-S50 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S54 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S54 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 C65XC65-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 C65XC65-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 Not Hamiltonian Formula required C65XC65-S55 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S56 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C65XC65-S56 Hamiltonian number of vertices: 16 By formula Formula required C65XC65-S58 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C65XC65-S58 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 C65XC65-S58 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 0 C65XC65-S58 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 Not Hamiltonian Formula required C65XC65-S58 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S59 v = 10 0 1 2 3 4 5 6 7 8 9 5 6 7 8 9 0 1 2 3 4 Not Hamiltonian Formula required C65XC65-S62 v = 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 C65XC65-S62 Hamiltonian number of vertices: 44 By formula Formula required C66XC66-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 Not Hamiltonian Formula required C66XC66-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian Formula required C66XC66-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 8 9 10 11 12 13 14 15 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 2 Not Hamiltonian Formula required C66XC66-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C66XC66-S38 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 C66XC66-S38 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C66XC66-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 8 9 10 11 12 13 14 15 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian Formula required C66XC66-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 Not Hamiltonian Formula required C66XC66-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C66XC66-S41 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C66XC66-S41 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 C66XC66-S41 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 C66XC66-S41 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 C66XC66-S41 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 C66XC66-S41 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 Not Hamiltonian Formula required C66XC66-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian Formula required C66XC66-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C66XC66-S44 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 C66XC66-S44 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 C66XC66-S44 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 C66XC66-S44 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 C66XC66-S44 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 C66XC66-S44 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 Not Hamiltonian Formula required C66XC66-S45 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian Formula required C66XC66-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C66XC66-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 C66XC66-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 Not Hamiltonian Formula required C66XC66-S47 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian Formula required C66XC66-S49 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 Not Hamiltonian Formula required C66XC66-S50 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian Formula required C66XC66-S51 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 Not Hamiltonian Formula required C66XC66-S53 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C66XC66-S55 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 Not Hamiltonian Formula required C66XC66-S56 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 C66XC66-S56 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian Formula required C66XC66-S57 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian Formula required C66XC66-S59 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 0 1 Not Hamiltonian Formula required C66XC66-S59 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 Not Hamiltonian Formula required C66XC66-S61 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian Formula required C66XC66-S63 v = 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 Not Hamiltonian Formula required C67XC67-S34 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C67XC67-S34 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C67XC67-S34 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 C67XC67-S34 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 C67XC67-S34 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S34 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 0 C67XC67-S34 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 16 17 18 C67XC67-S34 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 13 14 C67XC67-S34 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 C67XC67-S34 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 C67XC67-S34 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 C67XC67-S34 Hamiltonian number of vertices: 64 By formula Formula required C67XC67-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C67XC67-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C67XC67-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C67XC67-S36 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 C67XC67-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 C67XC67-S36 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C67XC67-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C67XC67-S36 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S36 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 C67XC67-S36 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 C67XC67-S36 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 Not Hamiltonian Formula required C67XC67-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C67XC67-S36 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C67XC67-S36 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian Formula required C67XC67-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C67XC67-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C67XC67-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C67XC67-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 8 9 10 11 12 13 14 15 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 C67XC67-S38 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 C67XC67-S38 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S38 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 C67XC67-S38 Hamiltonian number of vertices: 40 By formula Formula required C67XC67-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C67XC67-S39 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C67XC67-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C67XC67-S39 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 C67XC67-S39 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 C67XC67-S39 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 C67XC67-S39 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 C67XC67-S39 Hamiltonian number of vertices: 33 By formula Formula required C67XC67-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C67XC67-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C67XC67-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C67XC67-S40 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 7 8 9 10 11 12 13 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C67XC67-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C67XC67-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 C67XC67-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 C67XC67-S40 Hamiltonian number of vertices: 28 By formula Formula required C67XC67-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C67XC67-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C67XC67-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C67XC67-S42 Hamiltonian number of vertices: 16 By formula Formula required C67XC67-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C67XC67-S42 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C67XC67-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C67XC67-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C67XC67-S42 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C67XC67-S42 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 C67XC67-S42 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 C67XC67-S42 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 C67XC67-S42 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 C67XC67-S42 Hamiltonian number of vertices: 51 By formula Formula required C67XC67-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C67XC67-S44 Hamiltonian number of vertices: 4 By formula Formula required C67XC67-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C67XC67-S45 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C67XC67-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C67XC67-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C67XC67-S45 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 C67XC67-S45 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S45 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 C67XC67-S45 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 C67XC67-S45 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 C67XC67-S45 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 C67XC67-S45 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 C67XC67-S45 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 C67XC67-S45 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 C67XC67-S45 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 C67XC67-S45 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 C67XC67-S45 Hamiltonian number of vertices: 63 By formula Formula required C67XC67-S46 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C67XC67-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C67XC67-S46 Hamiltonian number of vertices: 16 By formula Formula required C67XC67-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C67XC67-S48 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C67XC67-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C67XC67-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S48 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C67XC67-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 C67XC67-S48 Hamiltonian number of vertices: 27 By formula Formula required C67XC67-S48 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C67XC67-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C67XC67-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 C67XC67-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 C67XC67-S48 Hamiltonian number of vertices: 40 By formula Formula required C67XC67-S50 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C67XC67-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C67XC67-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 C67XC67-S50 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 C67XC67-S50 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 C67XC67-S50 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 C67XC67-S50 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 C67XC67-S50 Hamiltonian number of vertices: 64 By formula Formula required C67XC67-S51 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C67XC67-S51 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C67XC67-S51 Hamiltonian number of vertices: 15 By formula Formula required C67XC67-S52 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C67XC67-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C67XC67-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 C67XC67-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 Not Hamiltonian Formula required C67XC67-S54 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C67XC67-S54 Hamiltonian number of vertices: 12 By formula Formula required C67XC67-S56 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C67XC67-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 C67XC67-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 C67XC67-S56 Hamiltonian number of vertices: 60 By formula Formula required C67XC67-S57 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 0 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C67XC67-S57 Hamiltonian number of vertices: 18 By formula Formula required C67XC67-S58 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C67XC67-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 Not Hamiltonian Formula required C67XC67-S60 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C67XC67-S60 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 C67XC67-S60 Hamiltonian number of vertices: 27 By formula Formula required C67XC67-S60 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 C67XC67-S60 Hamiltonian number of vertices: 40 By formula Formula required C67XC67-S62 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 C67XC67-S62 Hamiltonian number of vertices: 28 By formula Formula required C67XC67-S64 v = 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 C67XC67-S64 Hamiltonian number of vertices: 44 By formula Formula required C68XC68-S35 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 4 5 Not Hamiltonian Formula required C68XC68-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 9 10 11 12 13 14 15 16 17 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 Not Hamiltonian Formula required C68XC68-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C68XC68-S37 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian Formula required C68XC68-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 8 9 10 11 12 13 14 15 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C68XC68-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C68XC68-S40 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C68XC68-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 C68XC68-S40 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 C68XC68-S40 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 Not Hamiltonian Formula required C68XC68-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 7 8 9 10 11 12 13 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 Not Hamiltonian Formula required C68XC68-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian Formula required C68XC68-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C68XC68-S43 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 C68XC68-S43 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 C68XC68-S43 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 Not Hamiltonian Formula required C68XC68-S45 v = 2 0 1 0 1 Not Hamiltonian Formula required C68XC68-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C68XC68-S46 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C68XC68-S46 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 C68XC68-S46 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 C68XC68-S46 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 C68XC68-S46 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 C68XC68-S46 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 Not Hamiltonian Formula required C68XC68-S47 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C68XC68-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C68XC68-S49 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C68XC68-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian Formula required C68XC68-S49 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 Not Hamiltonian Formula required C68XC68-S51 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 Not Hamiltonian Formula required C68XC68-S52 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C68XC68-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C68XC68-S53 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 Not Hamiltonian Formula required C68XC68-S55 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian Formula required C68XC68-S57 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 Not Hamiltonian Formula required C68XC68-S58 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C68XC68-S59 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 1 2 Not Hamiltonian Formula required C68XC68-S61 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 Not Hamiltonian Formula required C68XC68-S61 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 Not Hamiltonian Formula required C68XC68-S63 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 Not Hamiltonian Formula required C68XC68-S65 v = 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian Formula required C69XC69-S35 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C69XC69-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C69XC69-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C69XC69-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 4 5 6 7 0 1 2 3 8 C69XC69-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 C69XC69-S36 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 C69XC69-S36 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 C69XC69-S36 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 7 8 C69XC69-S36 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 0 1 2 C69XC69-S36 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 15 16 C69XC69-S36 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 Not Hamiltonian Formula required C69XC69-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C69XC69-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 C69XC69-S38 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 C69XC69-S38 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 C69XC69-S38 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 1 2 C69XC69-S38 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 Not Hamiltonian Formula required C69XC69-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C69XC69-S38 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C69XC69-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C69XC69-S38 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C69XC69-S38 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 Not Hamiltonian Formula required C69XC69-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C69XC69-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C69XC69-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C69XC69-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C69XC69-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 C69XC69-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 C69XC69-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 C69XC69-S40 Hamiltonian number of vertices: 36 By formula Formula required C69XC69-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C69XC69-S41 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C69XC69-S41 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 C69XC69-S41 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 C69XC69-S41 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 C69XC69-S41 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 C69XC69-S41 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 C69XC69-S41 Hamiltonian number of vertices: 39 By formula Formula required C69XC69-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C69XC69-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C69XC69-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 8 9 10 11 12 13 14 15 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 Not Hamiltonian Formula required C69XC69-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C69XC69-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C69XC69-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C69XC69-S44 Hamiltonian number of vertices: 12 By formula Formula required C69XC69-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C69XC69-S44 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C69XC69-S44 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C69XC69-S44 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 C69XC69-S44 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 C69XC69-S44 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C69XC69-S44 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 C69XC69-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 C69XC69-S44 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 C69XC69-S44 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 C69XC69-S44 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 C69XC69-S44 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 0 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 C69XC69-S44 Hamiltonian number of vertices: 57 By formula Formula required C69XC69-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C69XC69-S47 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C69XC69-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 C69XC69-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 C69XC69-S47 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 C69XC69-S47 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 C69XC69-S47 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 C69XC69-S47 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 C69XC69-S47 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 C69XC69-S47 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 C69XC69-S47 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 C69XC69-S47 Hamiltonian number of vertices: 57 By formula Formula required C69XC69-S48 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C69XC69-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C69XC69-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C69XC69-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C69XC69-S50 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C69XC69-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C69XC69-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 C69XC69-S50 Hamiltonian number of vertices: 21 By formula Formula required C69XC69-S50 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C69XC69-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C69XC69-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 C69XC69-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 C69XC69-S50 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 C69XC69-S50 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 C69XC69-S50 Hamiltonian number of vertices: 48 By formula Formula required C69XC69-S52 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C69XC69-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C69XC69-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 C69XC69-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 C69XC69-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 C69XC69-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 C69XC69-S52 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 C69XC69-S52 Hamiltonian number of vertices: 64 By formula Formula required C69XC69-S53 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C69XC69-S53 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 C69XC69-S53 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 Not Hamiltonian Formula required C69XC69-S54 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C69XC69-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C69XC69-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C69XC69-S56 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C69XC69-S56 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C69XC69-S58 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 C69XC69-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 C69XC69-S58 Hamiltonian number of vertices: 48 By formula Formula required C69XC69-S59 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian Formula required C69XC69-S60 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C69XC69-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 C69XC69-S60 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 Not Hamiltonian Formula required C69XC69-S62 v = 9 0 1 2 3 4 5 6 7 8 6 7 8 0 1 2 3 4 5 Not Hamiltonian Formula required C69XC69-S62 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 0 C69XC69-S62 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 Not Hamiltonian Formula required C69XC69-S64 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 C69XC69-S64 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 C69XC69-S64 Hamiltonian number of vertices: 56 By formula Formula required C69XC69-S65 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian Formula required C70XC70-S36 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C70XC70-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 19 20 21 22 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 8 9 10 11 Not Hamiltonian Formula required C70XC70-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 8 9 10 11 12 13 14 15 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 0 Not Hamiltonian Formula required C70XC70-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C70XC70-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian Formula required C70XC70-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 8 9 10 11 12 13 14 15 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 Not Hamiltonian Formula required C70XC70-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C70XC70-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C70XC70-S42 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 C70XC70-S42 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C70XC70-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 8 9 10 11 12 13 14 15 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 Not Hamiltonian Formula required C70XC70-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C70XC70-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C70XC70-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C70XC70-S45 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 C70XC70-S45 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 C70XC70-S45 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 C70XC70-S45 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 Not Hamiltonian Formula required C70XC70-S47 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C70XC70-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C70XC70-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 C70XC70-S48 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 C70XC70-S48 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 C70XC70-S48 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 C70XC70-S48 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 Not Hamiltonian Formula required C70XC70-S49 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C70XC70-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C70XC70-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian Formula required C70XC70-S51 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 Not Hamiltonian Formula required C70XC70-S53 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 Not Hamiltonian Formula required C70XC70-S54 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C70XC70-S54 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 C70XC70-S54 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C70XC70-S55 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C70XC70-S57 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 Not Hamiltonian Formula required C70XC70-S59 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 Not Hamiltonian Formula required C70XC70-S61 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 Not Hamiltonian Formula required C70XC70-S63 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 Not Hamiltonian Formula required C70XC70-S65 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 Not Hamiltonian Formula required C70XC70-S66 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 Not Hamiltonian Formula required C70XC70-S67 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian Formula required C71XC71-S36 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C71XC71-S36 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C71XC71-S36 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C71XC71-S36 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 4 5 6 7 0 1 2 3 8 9 10 C71XC71-S36 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 C71XC71-S36 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C71XC71-S36 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 C71XC71-S36 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 C71XC71-S36 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C71XC71-S36 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 0 1 2 3 4 C71XC71-S36 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 21 22 C71XC71-S36 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 14 C71XC71-S36 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 C71XC71-S36 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 2 C71XC71-S36 Hamiltonian number of vertices: 68 By formula Formula required C71XC71-S37 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C71XC71-S37 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian Formula required C71XC71-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C71XC71-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C71XC71-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 6 7 0 1 2 3 4 5 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 C71XC71-S38 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C71XC71-S38 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 1 2 3 4 C71XC71-S38 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 21 22 C71XC71-S38 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 14 C71XC71-S38 Hamiltonian number of vertices: 56 By formula Formula required C71XC71-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C71XC71-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C71XC71-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C71XC71-S40 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C71XC71-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 C71XC71-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 C71XC71-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 C71XC71-S40 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C71XC71-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 C71XC71-S40 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S40 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 3 4 C71XC71-S40 Hamiltonian number of vertices: 44 By formula Formula required C71XC71-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C71XC71-S40 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C71XC71-S40 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 C71XC71-S40 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C71XC71-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 C71XC71-S40 Hamiltonian number of vertices: 27 By formula Formula required C71XC71-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C71XC71-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C71XC71-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 8 9 10 11 12 13 14 15 2 3 4 5 6 C71XC71-S42 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 C71XC71-S42 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 C71XC71-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C71XC71-S42 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 C71XC71-S42 Hamiltonian number of vertices: 32 By formula Formula required C71XC71-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C71XC71-S43 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C71XC71-S43 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C71XC71-S43 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C71XC71-S43 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 C71XC71-S43 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 C71XC71-S43 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 C71XC71-S43 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 C71XC71-S43 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C71XC71-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C71XC71-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C71XC71-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C71XC71-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 8 9 10 11 12 13 14 15 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 C71XC71-S44 Hamiltonian number of vertices: 20 By formula Formula required C71XC71-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C71XC71-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian Formula required C71XC71-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C71XC71-S46 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C71XC71-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C71XC71-S46 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C71XC71-S46 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 C71XC71-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 C71XC71-S46 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 C71XC71-S46 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 C71XC71-S46 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 C71XC71-S46 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 C71XC71-S46 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 C71XC71-S46 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 C71XC71-S46 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 C71XC71-S46 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 7 Not Hamiltonian Formula required C71XC71-S48 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C71XC71-S48 Hamiltonian number of vertices: 8 By formula Formula required C71XC71-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C71XC71-S49 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C71XC71-S49 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C71XC71-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C71XC71-S49 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 C71XC71-S49 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 C71XC71-S49 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 C71XC71-S49 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 C71XC71-S49 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 C71XC71-S49 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 C71XC71-S49 Hamiltonian number of vertices: 51 By formula Formula required C71XC71-S50 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C71XC71-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C71XC71-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 C71XC71-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 C71XC71-S50 Hamiltonian number of vertices: 32 By formula Formula required C71XC71-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C71XC71-S52 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C71XC71-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C71XC71-S52 Hamiltonian number of vertices: 15 By formula Formula required C71XC71-S52 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C71XC71-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C71XC71-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 C71XC71-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 C71XC71-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 C71XC71-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 C71XC71-S52 Hamiltonian number of vertices: 56 By formula Formula required C71XC71-S54 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C71XC71-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C71XC71-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 C71XC71-S54 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 C71XC71-S54 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 C71XC71-S54 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 C71XC71-S54 Hamiltonian number of vertices: 56 By formula Formula required C71XC71-S55 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C71XC71-S55 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C71XC71-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 C71XC71-S55 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S55 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 2 3 4 5 7 8 Not Hamiltonian Formula required C71XC71-S56 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C71XC71-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S56 Hamiltonian number of vertices: 16 By formula Formula required C71XC71-S58 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C71XC71-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 C71XC71-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 Not Hamiltonian Formula required C71XC71-S60 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C71XC71-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 C71XC71-S60 Hamiltonian number of vertices: 36 By formula Formula required C71XC71-S62 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C71XC71-S62 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 C71XC71-S62 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 C71XC71-S62 Hamiltonian number of vertices: 64 By formula Formula required C71XC71-S64 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 C71XC71-S64 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 C71XC71-S64 Hamiltonian number of vertices: 60 By formula Formula required C71XC71-S66 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 C71XC71-S66 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 C71XC71-S66 Hamiltonian number of vertices: 56 By formula Formula required C71XC71-S67 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 0 C71XC71-S67 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 C71XC71-S67 Hamiltonian number of vertices: 54 By formula Formula required C71XC71-S68 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 C71XC71-S68 Hamiltonian number of vertices: 48 By formula Formula required C72XC72-S37 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 19 20 21 22 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 Not Hamiltonian Formula required C72XC72-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C72XC72-S38 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian Formula required C72XC72-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 Not Hamiltonian Formula required C72XC72-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C72XC72-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C72XC72-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 8 9 10 11 12 13 14 15 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C72XC72-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C72XC72-S44 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 C72XC72-S44 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 10 11 C72XC72-S44 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C72XC72-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 8 9 10 11 12 13 14 15 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C72XC72-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian Formula required C72XC72-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C72XC72-S47 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C72XC72-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C72XC72-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 C72XC72-S47 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 C72XC72-S47 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 C72XC72-S47 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 C72XC72-S47 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 7 8 C72XC72-S47 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 Not Hamiltonian Formula required C72XC72-S49 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian Formula required C72XC72-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C72XC72-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C72XC72-S50 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 C72XC72-S50 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 C72XC72-S50 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 C72XC72-S50 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 C72XC72-S50 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 Not Hamiltonian Formula required C72XC72-S51 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian Formula required C72XC72-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian Formula required C72XC72-S53 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 Not Hamiltonian Formula required C72XC72-S55 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 Not Hamiltonian Formula required C72XC72-S56 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 6 7 8 9 10 C72XC72-S56 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 C72XC72-S56 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C72XC72-S57 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C72XC72-S59 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 Not Hamiltonian Formula required C72XC72-S61 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 Not Hamiltonian Formula required C72XC72-S63 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 Not Hamiltonian Formula required C72XC72-S65 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 Not Hamiltonian Formula required C72XC72-S67 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 Not Hamiltonian Formula required C72XC72-S68 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 Not Hamiltonian Formula required C72XC72-S69 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 Not Hamiltonian Formula required C73XC73-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C73XC73-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C73XC73-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 6 7 0 1 2 3 4 5 8 9 10 C73XC73-S38 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 C73XC73-S38 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 C73XC73-S38 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 C73XC73-S38 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 C73XC73-S38 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S38 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 1 2 3 4 5 6 C73XC73-S38 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 22 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 21 22 23 0 C73XC73-S38 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 C73XC73-S38 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 14 15 16 C73XC73-S38 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 C73XC73-S38 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 Not Hamiltonian Formula required C73XC73-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C73XC73-S39 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C73XC73-S39 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C73XC73-S39 Hamiltonian number of vertices: 15 By formula Formula required C73XC73-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C73XC73-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C73XC73-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C73XC73-S40 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C73XC73-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C73XC73-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 C73XC73-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 C73XC73-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C73XC73-S40 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S40 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 3 4 5 6 C73XC73-S40 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 23 0 C73XC73-S40 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 Not Hamiltonian Formula required C73XC73-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C73XC73-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C73XC73-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 C73XC73-S42 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 C73XC73-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C73XC73-S42 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 C73XC73-S42 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C73XC73-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C73XC73-S42 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C73XC73-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C73XC73-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C73XC73-S42 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C73XC73-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 C73XC73-S42 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C73XC73-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C73XC73-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C73XC73-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C73XC73-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 8 9 10 11 12 13 14 15 4 5 6 7 0 C73XC73-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 C73XC73-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 C73XC73-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 C73XC73-S44 Hamiltonian number of vertices: 28 By formula Formula required C73XC73-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C73XC73-S45 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C73XC73-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C73XC73-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C73XC73-S45 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 C73XC73-S45 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C73XC73-S45 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 C73XC73-S45 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 C73XC73-S45 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 C73XC73-S45 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 C73XC73-S45 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S45 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 3 4 Not Hamiltonian Formula required C73XC73-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C73XC73-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C73XC73-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C73XC73-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 8 9 10 11 12 13 14 15 6 7 0 C73XC73-S46 Hamiltonian number of vertices: 16 By formula Formula required C73XC73-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C73XC73-S48 Hamiltonian number of vertices: 4 By formula Formula required C73XC73-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C73XC73-S48 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C73XC73-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C73XC73-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C73XC73-S48 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 C73XC73-S48 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C73XC73-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 C73XC73-S48 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 C73XC73-S48 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 C73XC73-S48 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 C73XC73-S48 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 C73XC73-S48 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 C73XC73-S48 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 10 11 12 13 14 15 C73XC73-S48 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 C73XC73-S48 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 7 8 9 C73XC73-S48 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 2 3 C73XC73-S48 Hamiltonian number of vertices: 69 By formula Formula required C73XC73-S50 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C73XC73-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C73XC73-S50 Hamiltonian number of vertices: 16 By formula Formula required C73XC73-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C73XC73-S51 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C73XC73-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C73XC73-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C73XC73-S51 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 C73XC73-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 C73XC73-S51 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 C73XC73-S51 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 C73XC73-S51 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 C73XC73-S51 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 C73XC73-S51 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 C73XC73-S51 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 C73XC73-S51 Hamiltonian number of vertices: 45 By formula Formula required C73XC73-S52 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C73XC73-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C73XC73-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 C73XC73-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 C73XC73-S52 Hamiltonian number of vertices: 40 By formula Formula required C73XC73-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C73XC73-S54 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C73XC73-S54 Hamiltonian number of vertices: 9 By formula Formula required C73XC73-S54 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C73XC73-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C73XC73-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 C73XC73-S54 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 C73XC73-S54 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 C73XC73-S54 Hamiltonian number of vertices: 64 By formula Formula required C73XC73-S56 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C73XC73-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 C73XC73-S56 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 C73XC73-S56 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 Not Hamiltonian Formula required C73XC73-S57 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C73XC73-S57 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C73XC73-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 C73XC73-S57 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 6 7 8 9 10 C73XC73-S57 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 2 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 5 6 0 7 8 C73XC73-S57 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 0 C73XC73-S57 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 0 Not Hamiltonian Formula required C73XC73-S58 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C73XC73-S58 Hamiltonian number of vertices: 8 By formula Formula required C73XC73-S60 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C73XC73-S60 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 C73XC73-S60 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 C73XC73-S60 Hamiltonian number of vertices: 48 By formula Formula required C73XC73-S62 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 C73XC73-S62 Hamiltonian number of vertices: 24 By formula Formula required C73XC73-S64 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C73XC73-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 C73XC73-S64 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 0 C73XC73-S64 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 C73XC73-S64 Hamiltonian number of vertices: 64 By formula Formula required C73XC73-S66 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 0 C73XC73-S66 Hamiltonian number of vertices: 40 By formula Formula required C73XC73-S68 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 C73XC73-S68 Hamiltonian number of vertices: 28 By formula Formula required C73XC73-S69 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 0 C73XC73-S69 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 C73XC73-S69 Hamiltonian number of vertices: 54 By formula Formula required C73XC73-S70 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 C73XC73-S70 Hamiltonian number of vertices: 48 By formula Formula required C74XC74-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 8 9 10 11 Not Hamiltonian Formula required C74XC74-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C74XC74-S40 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian Formula required C74XC74-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C74XC74-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C74XC74-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C74XC74-S43 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C74XC74-S43 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 C74XC74-S43 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 Not Hamiltonian Formula required C74XC74-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 8 9 10 11 12 13 14 15 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 Not Hamiltonian Formula required C74XC74-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C74XC74-S46 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C74XC74-S46 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 C74XC74-S46 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 C74XC74-S46 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 4 5 C74XC74-S46 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian Formula required C74XC74-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 7 8 9 10 11 12 13 5 6 0 1 2 3 Not Hamiltonian Formula required C74XC74-S49 v = 2 0 1 0 1 Not Hamiltonian Formula required C74XC74-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C74XC74-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 C74XC74-S49 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 C74XC74-S49 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 15 16 C74XC74-S49 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 7 8 9 10 C74XC74-S49 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 3 4 C74XC74-S49 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 Not Hamiltonian Formula required C74XC74-S51 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C74XC74-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C74XC74-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C74XC74-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 C74XC74-S52 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 Not Hamiltonian Formula required C74XC74-S53 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C74XC74-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C74XC74-S55 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 4 5 Not Hamiltonian Formula required C74XC74-S57 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 Not Hamiltonian Formula required C74XC74-S58 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C74XC74-S58 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 5 6 0 1 7 8 C74XC74-S58 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 0 1 C74XC74-S58 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 0 1 2 3 Not Hamiltonian Formula required C74XC74-S59 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C74XC74-S61 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 Not Hamiltonian Formula required C74XC74-S63 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C74XC74-S65 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 Not Hamiltonian Formula required C74XC74-S67 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 Not Hamiltonian Formula required C74XC74-S69 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian Formula required C74XC74-S70 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 Not Hamiltonian Formula required C74XC74-S71 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian Formula required C75XC75-S38 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C75XC75-S38 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C75XC75-S38 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C75XC75-S38 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 C75XC75-S38 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 C75XC75-S38 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C75XC75-S38 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 C75XC75-S38 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 21 22 C75XC75-S38 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 9 10 C75XC75-S38 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 Not Hamiltonian Formula required C75XC75-S38 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C75XC75-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C75XC75-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C75XC75-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C75XC75-S40 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C75XC75-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 C75XC75-S40 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 C75XC75-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 C75XC75-S40 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 C75XC75-S40 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 Not Hamiltonian Formula required C75XC75-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C75XC75-S41 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C75XC75-S41 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C75XC75-S41 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 C75XC75-S41 Hamiltonian number of vertices: 21 By formula Formula required C75XC75-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C75XC75-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C75XC75-S42 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 C75XC75-S42 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 C75XC75-S42 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C75XC75-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C75XC75-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C75XC75-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 C75XC75-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 C75XC75-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C75XC75-S44 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 C75XC75-S44 Hamiltonian number of vertices: 36 By formula Formula required C75XC75-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C75XC75-S44 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C75XC75-S44 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 C75XC75-S44 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C75XC75-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 C75XC75-S44 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 C75XC75-S44 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 C75XC75-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 C75XC75-S44 Hamiltonian number of vertices: 39 By formula Formula required C75XC75-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C75XC75-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C75XC75-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 8 9 10 11 12 13 14 15 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 C75XC75-S46 Hamiltonian number of vertices: 24 By formula Formula required C75XC75-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C75XC75-S47 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C75XC75-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 C75XC75-S47 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 C75XC75-S47 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 C75XC75-S47 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 C75XC75-S47 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 C75XC75-S47 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 3 4 C75XC75-S47 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 9 10 C75XC75-S47 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 0 1 2 C75XC75-S47 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C75XC75-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C75XC75-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C75XC75-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C75XC75-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C75XC75-S50 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C75XC75-S50 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C75XC75-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 C75XC75-S50 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 C75XC75-S50 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 C75XC75-S50 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 C75XC75-S50 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 8 9 10 11 C75XC75-S50 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 C75XC75-S50 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 4 5 C75XC75-S50 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 Not Hamiltonian Formula required C75XC75-S52 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C75XC75-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C75XC75-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C75XC75-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C75XC75-S53 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 C75XC75-S53 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 C75XC75-S53 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 C75XC75-S53 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 C75XC75-S53 Hamiltonian number of vertices: 39 By formula Formula required C75XC75-S54 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C75XC75-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C75XC75-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 C75XC75-S54 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C75XC75-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C75XC75-S56 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C75XC75-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C75XC75-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 C75XC75-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 C75XC75-S56 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 C75XC75-S56 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 C75XC75-S56 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 C75XC75-S56 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 Not Hamiltonian Formula required C75XC75-S58 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C75XC75-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C75XC75-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 C75XC75-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 C75XC75-S58 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 Not Hamiltonian Formula required C75XC75-S59 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C75XC75-S59 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 C75XC75-S59 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 C75XC75-S59 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 4 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 0 1 2 7 8 C75XC75-S59 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 0 1 2 C75XC75-S59 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 0 1 2 3 4 C75XC75-S59 Hamiltonian number of vertices: 50 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 4 5 6 7 8 C75XC75-S59 Hamiltonian number of vertices: 55 By formula Formula required C75XC75-S62 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C75XC75-S62 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 C75XC75-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 C75XC75-S62 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 C75XC75-S62 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 Not Hamiltonian Formula required C75XC75-S64 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C75XC75-S66 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C75XC75-S66 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 Not Hamiltonian Formula required C75XC75-S68 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian Formula required C75XC75-S71 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian Formula required C76XC76-S39 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 21 22 23 24 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 4 5 Not Hamiltonian Formula required C76XC76-S39 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C76XC76-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 16 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 24 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 Not Hamiltonian Formula required C76XC76-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C76XC76-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C76XC76-S42 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 Not Hamiltonian Formula required C76XC76-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian Formula required C76XC76-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C76XC76-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C76XC76-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C76XC76-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 C76XC76-S45 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 C76XC76-S45 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 Not Hamiltonian Formula required C76XC76-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 8 9 10 11 12 13 14 15 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 Not Hamiltonian Formula required C76XC76-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C76XC76-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C76XC76-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 C76XC76-S48 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 C76XC76-S48 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 C76XC76-S48 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 6 7 C76XC76-S48 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C76XC76-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian Formula required C76XC76-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C76XC76-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C76XC76-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 C76XC76-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 C76XC76-S51 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 C76XC76-S51 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 5 6 C76XC76-S51 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 Not Hamiltonian Formula required C76XC76-S51 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C76XC76-S53 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C76XC76-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C76XC76-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C76XC76-S54 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 C76XC76-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 C76XC76-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 C76XC76-S54 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian Formula required C76XC76-S55 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C76XC76-S57 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 Not Hamiltonian Formula required C76XC76-S59 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 Not Hamiltonian Formula required C76XC76-S60 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C76XC76-S60 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 C76XC76-S60 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 5 6 0 1 2 3 7 8 C76XC76-S60 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 0 1 2 3 C76XC76-S60 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 Not Hamiltonian Formula required C76XC76-S61 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C76XC76-S63 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 Not Hamiltonian Formula required C76XC76-S65 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian Formula required C76XC76-S67 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 0 Not Hamiltonian Formula required C76XC76-S69 v = 10 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian Formula required C76XC76-S71 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian Formula required C76XC76-S73 v = 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian Formula required C77XC77-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C77XC77-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C77XC77-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 7 8 9 10 11 12 13 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C77XC77-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C77XC77-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 C77XC77-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 C77XC77-S40 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C77XC77-S40 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 C77XC77-S40 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 23 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 23 24 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 C77XC77-S40 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 19 20 C77XC77-S40 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 C77XC77-S40 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 8 C77XC77-S40 Hamiltonian number of vertices: 68 By formula Formula required C77XC77-S40 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C77XC77-S40 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C77XC77-S40 Hamiltonian number of vertices: 9 By formula Formula required C77XC77-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C77XC77-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C77XC77-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C77XC77-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 4 5 6 7 0 1 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 C77XC77-S42 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 C77XC77-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C77XC77-S42 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C77XC77-S42 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 9 10 C77XC77-S42 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 Not Hamiltonian Formula required C77XC77-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C77XC77-S43 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C77XC77-S43 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 C77XC77-S43 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C77XC77-S43 Hamiltonian number of vertices: 27 By formula Formula required C77XC77-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C77XC77-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C77XC77-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C77XC77-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 4 5 6 7 0 1 2 3 8 C77XC77-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 C77XC77-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 C77XC77-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 C77XC77-S44 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C77XC77-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C77XC77-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C77XC77-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C77XC77-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 9 10 11 12 13 14 15 16 17 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 C77XC77-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 C77XC77-S46 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C77XC77-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C77XC77-S46 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C77XC77-S46 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C77XC77-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C77XC77-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 C77XC77-S46 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 C77XC77-S46 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 C77XC77-S46 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 C77XC77-S46 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 Not Hamiltonian Formula required C77XC77-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C77XC77-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C77XC77-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C77XC77-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C77XC77-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 C77XC77-S48 Hamiltonian number of vertices: 20 By formula Formula required C77XC77-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C77XC77-S49 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C77XC77-S49 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C77XC77-S49 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 C77XC77-S49 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 C77XC77-S49 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 C77XC77-S49 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 C77XC77-S49 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 C77XC77-S49 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 C77XC77-S49 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 0 1 2 3 4 C77XC77-S49 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 15 16 17 18 0 C77XC77-S49 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 C77XC77-S49 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 7 8 9 10 11 12 13 Not Hamiltonian Formula required C77XC77-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C77XC77-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C77XC77-S50 Hamiltonian number of vertices: 8 By formula Formula required C77XC77-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C77XC77-S52 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C77XC77-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C77XC77-S52 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 C77XC77-S52 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 C77XC77-S52 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 C77XC77-S52 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 C77XC77-S52 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 C77XC77-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 C77XC77-S52 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 18 0 C77XC77-S52 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 C77XC77-S52 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 6 7 C77XC77-S52 Hamiltonian number of vertices: 69 By formula Formula required C77XC77-S52 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C77XC77-S52 Hamiltonian number of vertices: 8 By formula Formula required C77XC77-S54 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C77XC77-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C77XC77-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C77XC77-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 Not Hamiltonian Formula required C77XC77-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C77XC77-S55 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C77XC77-S55 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C77XC77-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C77XC77-S55 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 C77XC77-S55 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C77XC77-S56 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C77XC77-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C77XC77-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 C77XC77-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 C77XC77-S56 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 3 4 C77XC77-S56 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 Not Hamiltonian Formula required C77XC77-S58 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C77XC77-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C77XC77-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 C77XC77-S58 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 C77XC77-S58 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 C77XC77-S58 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 C77XC77-S58 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 C77XC77-S58 Hamiltonian number of vertices: 72 By formula Formula required C77XC77-S60 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C77XC77-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C77XC77-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C77XC77-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 Not Hamiltonian Formula required C77XC77-S61 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C77XC77-S61 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C77XC77-S61 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 C77XC77-S61 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 6 7 8 9 10 C77XC77-S61 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 5 6 0 1 2 3 4 7 8 C77XC77-S61 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 0 1 2 3 4 C77XC77-S61 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 C77XC77-S61 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 9 10 11 C77XC77-S61 Hamiltonian number of vertices: 65 By formula Formula required C77XC77-S62 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C77XC77-S62 Hamiltonian number of vertices: 12 By formula Formula required C77XC77-S64 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C77XC77-S64 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 C77XC77-S64 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 C77XC77-S64 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 C77XC77-S64 Hamiltonian number of vertices: 72 By formula Formula required C77XC77-S68 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C77XC77-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 C77XC77-S68 Hamiltonian number of vertices: 32 By formula Formula required C77XC77-S72 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C77XC77-S72 Hamiltonian number of vertices: 32 By formula Formula required C77XC77-S74 v = 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 C77XC77-S74 Hamiltonian number of vertices: 52 By formula Formula required C78XC78-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 7 8 9 10 11 12 13 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 24 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 Not Hamiltonian Formula required C78XC78-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian Formula required C78XC78-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 17 18 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C78XC78-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C78XC78-S44 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C78XC78-S44 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 C78XC78-S44 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C78XC78-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C78XC78-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 8 9 10 11 12 13 14 15 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 Not Hamiltonian Formula required C78XC78-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 C78XC78-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 C78XC78-S47 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 C78XC78-S47 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C78XC78-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 8 9 10 11 12 13 14 15 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 Not Hamiltonian Formula required C78XC78-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C78XC78-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 C78XC78-S50 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 C78XC78-S50 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 7 8 9 C78XC78-S50 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 11 Not Hamiltonian Formula required C78XC78-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C78XC78-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C78XC78-S53 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C78XC78-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 C78XC78-S53 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 8 9 C78XC78-S53 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 C78XC78-S53 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 Not Hamiltonian Formula required C78XC78-S53 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian Formula required C78XC78-S55 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian Formula required C78XC78-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C78XC78-S56 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 C78XC78-S56 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 Not Hamiltonian Formula required C78XC78-S57 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 Not Hamiltonian Formula required C78XC78-S59 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 Not Hamiltonian Formula required C78XC78-S61 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian Formula required C78XC78-S62 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 6 7 8 9 10 C78XC78-S62 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 2 3 4 5 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 0 1 2 3 4 5 C78XC78-S62 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 7 8 9 10 0 C78XC78-S62 Hamiltonian number of vertices: 55 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 6 7 Not Hamiltonian Formula required C78XC78-S63 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C78XC78-S65 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 Not Hamiltonian Formula required C78XC78-S67 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian Formula required C78XC78-S69 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 Not Hamiltonian Formula required C78XC78-S71 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian Formula required C78XC78-S73 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 Not Hamiltonian Formula required C78XC78-S75 v = 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 Not Hamiltonian Formula required C79XC79-S40 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C79XC79-S40 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C79XC79-S40 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C79XC79-S40 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C79XC79-S40 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 C79XC79-S40 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 C79XC79-S40 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 C79XC79-S40 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 C79XC79-S40 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C79XC79-S40 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C79XC79-S40 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 23 24 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 0 C79XC79-S40 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 C79XC79-S40 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 C79XC79-S40 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 C79XC79-S40 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 2 C79XC79-S40 Hamiltonian number of vertices: 76 By formula Formula required C79XC79-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C79XC79-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C79XC79-S42 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C79XC79-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 4 5 6 7 0 1 8 9 10 11 12 C79XC79-S42 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 C79XC79-S42 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 C79XC79-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C79XC79-S42 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 C79XC79-S42 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 C79XC79-S42 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C79XC79-S42 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 3 4 5 6 C79XC79-S42 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 25 0 C79XC79-S42 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 C79XC79-S42 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 C79XC79-S42 Hamiltonian number of vertices: 64 By formula Formula required C79XC79-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C79XC79-S42 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C79XC79-S42 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C79XC79-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C79XC79-S42 Hamiltonian number of vertices: 15 By formula Formula required C79XC79-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C79XC79-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C79XC79-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 4 5 6 7 0 1 2 3 8 9 10 C79XC79-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 C79XC79-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 C79XC79-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 C79XC79-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 C79XC79-S44 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 C79XC79-S44 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 18 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 C79XC79-S44 Hamiltonian number of vertices: 52 By formula Formula required C79XC79-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C79XC79-S45 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C79XC79-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C79XC79-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C79XC79-S45 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 C79XC79-S45 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C79XC79-S45 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C79XC79-S45 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 C79XC79-S45 Hamiltonian number of vertices: 33 By formula Formula required C79XC79-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C79XC79-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C79XC79-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 6 7 0 1 2 3 4 5 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 C79XC79-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 C79XC79-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C79XC79-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 C79XC79-S46 Hamiltonian number of vertices: 40 By formula Formula required C79XC79-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C79XC79-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C79XC79-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C79XC79-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C79XC79-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 C79XC79-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C79XC79-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 C79XC79-S48 Hamiltonian number of vertices: 28 By formula Formula required C79XC79-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C79XC79-S48 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C79XC79-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C79XC79-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C79XC79-S48 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C79XC79-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 C79XC79-S48 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 C79XC79-S48 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C79XC79-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 C79XC79-S48 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 C79XC79-S48 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 C79XC79-S48 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 6 7 8 9 10 C79XC79-S48 Hamiltonian number of vertices: 51 By formula Formula required C79XC79-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C79XC79-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C79XC79-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C79XC79-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 8 9 10 11 12 13 14 15 2 3 4 5 6 C79XC79-S50 Hamiltonian number of vertices: 16 By formula Formula required C79XC79-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C79XC79-S51 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C79XC79-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C79XC79-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C79XC79-S51 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 C79XC79-S51 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 C79XC79-S51 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 C79XC79-S51 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 C79XC79-S51 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 C79XC79-S51 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 8 9 10 C79XC79-S51 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 C79XC79-S51 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 9 10 11 12 13 14 15 C79XC79-S51 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 11 12 C79XC79-S51 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 5 6 7 8 9 Not Hamiltonian Formula required C79XC79-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C79XC79-S52 Hamiltonian number of vertices: 4 By formula Formula required C79XC79-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C79XC79-S54 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C79XC79-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C79XC79-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C79XC79-S54 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C79XC79-S54 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C79XC79-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 C79XC79-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C79XC79-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 C79XC79-S54 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 C79XC79-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 C79XC79-S54 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 C79XC79-S54 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 C79XC79-S54 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 C79XC79-S54 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 C79XC79-S54 Hamiltonian number of vertices: 63 By formula Formula required C79XC79-S54 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C79XC79-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C79XC79-S54 Hamiltonian number of vertices: 16 By formula Formula required C79XC79-S56 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C79XC79-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C79XC79-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 C79XC79-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C79XC79-S56 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 11 12 Not Hamiltonian Formula required C79XC79-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C79XC79-S57 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C79XC79-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C79XC79-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C79XC79-S57 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C79XC79-S57 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 C79XC79-S57 Hamiltonian number of vertices: 27 By formula Formula required C79XC79-S58 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C79XC79-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C79XC79-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 C79XC79-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 C79XC79-S58 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 C79XC79-S58 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 C79XC79-S58 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 C79XC79-S58 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 C79XC79-S58 Hamiltonian number of vertices: 64 By formula Formula required C79XC79-S60 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C79XC79-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C79XC79-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C79XC79-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 C79XC79-S60 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 C79XC79-S60 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 C79XC79-S60 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 C79XC79-S60 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 C79XC79-S60 Hamiltonian number of vertices: 64 By formula Formula required C79XC79-S62 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C79XC79-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 0 1 4 5 6 7 8 9 10 11 12 C79XC79-S62 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 Not Hamiltonian Formula required C79XC79-S63 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C79XC79-S63 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C79XC79-S63 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 C79XC79-S63 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 2 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 C79XC79-S63 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 0 1 2 3 4 5 6 C79XC79-S63 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 C79XC79-S63 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 C79XC79-S63 Hamiltonian number of vertices: 50 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 8 9 10 0 1 C79XC79-S63 Hamiltonian number of vertices: 55 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 C79XC79-S63 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 7 8 C79XC79-S63 Hamiltonian number of vertices: 70 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 3 C79XC79-S63 Hamiltonian number of vertices: 75 By formula Formula required C79XC79-S64 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C79XC79-S64 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C79XC79-S64 Hamiltonian number of vertices: 24 By formula Formula required C79XC79-S66 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C79XC79-S66 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 C79XC79-S66 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 C79XC79-S66 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 C79XC79-S66 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 C79XC79-S66 Hamiltonian number of vertices: 72 By formula Formula required C79XC79-S68 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C79XC79-S68 Hamiltonian number of vertices: 16 By formula Formula required C79XC79-S70 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C79XC79-S70 Hamiltonian number of vertices: 16 By formula Formula required C79XC79-S72 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C79XC79-S72 Hamiltonian number of vertices: 24 By formula Formula required C79XC79-S74 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C79XC79-S74 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 C79XC79-S74 Hamiltonian number of vertices: 64 By formula Formula required C79XC79-S76 v = 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 C79XC79-S76 Hamiltonian number of vertices: 52 By formula Formula required C80XC80-S41 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 24 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 13 14 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 4 5 Not Hamiltonian Formula required C80XC80-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 7 8 9 10 11 12 13 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 16 17 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 12 13 14 15 16 17 Not Hamiltonian Formula required C80XC80-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C80XC80-S43 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian Formula required C80XC80-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 4 Not Hamiltonian Formula required C80XC80-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C80XC80-S46 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian Formula required C80XC80-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 Not Hamiltonian Formula required C80XC80-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 Not Hamiltonian Formula required C80XC80-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C80XC80-S49 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 C80XC80-S49 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 C80XC80-S49 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 C80XC80-S49 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 7 8 9 10 11 C80XC80-S49 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C80XC80-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian Formula required C80XC80-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C80XC80-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C80XC80-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 C80XC80-S52 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 C80XC80-S52 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 2 3 4 C80XC80-S52 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 18 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 10 11 12 13 14 15 16 C80XC80-S52 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 6 7 8 9 10 C80XC80-S52 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 Not Hamiltonian Formula required C80XC80-S53 v = 2 0 1 0 1 Not Hamiltonian Formula required C80XC80-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 C80XC80-S55 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C80XC80-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 C80XC80-S55 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 Not Hamiltonian Formula required C80XC80-S55 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C80XC80-S57 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 0 1 11 Not Hamiltonian Formula required C80XC80-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C80XC80-S58 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 C80XC80-S58 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 Not Hamiltonian Formula required C80XC80-S59 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 Not Hamiltonian Formula required C80XC80-S61 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 Not Hamiltonian Formula required C80XC80-S63 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian Formula required C80XC80-S64 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C80XC80-S64 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 C80XC80-S64 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 5 6 0 7 8 C80XC80-S64 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 C80XC80-S64 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 9 10 0 1 2 C80XC80-S64 Hamiltonian number of vertices: 55 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 12 0 1 C80XC80-S64 Hamiltonian number of vertices: 65 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 4 Not Hamiltonian Formula required C80XC80-S65 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C80XC80-S67 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 Not Hamiltonian Formula required C80XC80-S69 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C80XC80-S71 v = 8 0 1 2 3 4 5 6 7 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C80XC80-S73 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 0 3 Not Hamiltonian Formula required C80XC80-S75 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 Not Hamiltonian Formula required C80XC80-S77 v = 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian Formula required C81XC81-S41 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C81XC81-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C81XC81-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 C81XC81-S42 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C81XC81-S42 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 C81XC81-S42 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C81XC81-S42 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 13 14 15 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 25 0 1 2 C81XC81-S42 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 23 24 C81XC81-S42 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 15 16 C81XC81-S42 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 12 C81XC81-S42 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 Not Hamiltonian Formula required C81XC81-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C81XC81-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C81XC81-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C81XC81-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 7 8 9 10 11 12 13 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 C81XC81-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 C81XC81-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 C81XC81-S44 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 C81XC81-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 C81XC81-S44 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C81XC81-S44 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 7 8 C81XC81-S44 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 17 18 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 1 2 C81XC81-S44 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 C81XC81-S44 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 20 C81XC81-S44 Hamiltonian number of vertices: 60 By formula Formula required C81XC81-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C81XC81-S44 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C81XC81-S44 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 C81XC81-S44 Hamiltonian number of vertices: 21 By formula Formula required C81XC81-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C81XC81-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C81XC81-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C81XC81-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 6 7 0 1 2 3 4 5 8 9 10 C81XC81-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 C81XC81-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 C81XC81-S46 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 C81XC81-S46 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 C81XC81-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 C81XC81-S46 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 18 19 20 0 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 C81XC81-S46 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 C81XC81-S46 Hamiltonian number of vertices: 48 By formula Formula required C81XC81-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C81XC81-S47 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C81XC81-S47 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C81XC81-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C81XC81-S47 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 C81XC81-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 C81XC81-S47 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 C81XC81-S47 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 C81XC81-S47 Hamiltonian number of vertices: 39 By formula Formula required C81XC81-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C81XC81-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C81XC81-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C81XC81-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 C81XC81-S48 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C81XC81-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C81XC81-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C81XC81-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 C81XC81-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 Not Hamiltonian Formula required C81XC81-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C81XC81-S50 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C81XC81-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C81XC81-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C81XC81-S50 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 C81XC81-S50 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C81XC81-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C81XC81-S50 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 7 8 9 10 11 12 C81XC81-S50 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 0 1 2 3 4 Not Hamiltonian Formula required C81XC81-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C81XC81-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C81XC81-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian Formula required C81XC81-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C81XC81-S53 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C81XC81-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 C81XC81-S53 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 C81XC81-S53 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 C81XC81-S53 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 C81XC81-S53 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 8 9 10 C81XC81-S53 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 0 C81XC81-S53 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 8 9 10 11 12 C81XC81-S53 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 4 5 6 7 8 C81XC81-S53 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 0 C81XC81-S53 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 C81XC81-S53 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 3 4 5 Not Hamiltonian Formula required C81XC81-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C81XC81-S56 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C81XC81-S56 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C81XC81-S56 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C81XC81-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 C81XC81-S56 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 C81XC81-S56 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 C81XC81-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 C81XC81-S56 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 C81XC81-S56 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 C81XC81-S56 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 Not Hamiltonian Formula required C81XC81-S56 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C81XC81-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C81XC81-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian Formula required C81XC81-S58 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C81XC81-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C81XC81-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 11 12 C81XC81-S58 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 2 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C81XC81-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C81XC81-S59 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C81XC81-S59 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C81XC81-S60 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C81XC81-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C81XC81-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 C81XC81-S60 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 C81XC81-S60 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 0 C81XC81-S60 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 Not Hamiltonian Formula required C81XC81-S62 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C81XC81-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C81XC81-S62 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 C81XC81-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 C81XC81-S62 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 C81XC81-S62 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 C81XC81-S62 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 Not Hamiltonian Formula required C81XC81-S64 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C81XC81-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C81XC81-S64 Hamiltonian number of vertices: 16 By formula Formula required C81XC81-S65 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C81XC81-S65 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 C81XC81-S65 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 C81XC81-S65 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 4 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 5 6 0 1 7 8 C81XC81-S65 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 0 C81XC81-S65 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 0 1 2 C81XC81-S65 Hamiltonian number of vertices: 65 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 9 10 C81XC81-S65 Hamiltonian number of vertices: 70 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 5 Not Hamiltonian Formula required C81XC81-S65 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian Formula required C81XC81-S66 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C81XC81-S66 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C81XC81-S68 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C81XC81-S68 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 C81XC81-S68 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 C81XC81-S68 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 C81XC81-S68 Hamiltonian number of vertices: 60 By formula Formula required C81XC81-S70 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C81XC81-S70 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 5 6 C81XC81-S70 Hamiltonian number of vertices: 32 By formula Formula required C81XC81-S71 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C81XC81-S74 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C81XC81-S74 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 0 C81XC81-S74 Hamiltonian number of vertices: 48 By formula Formula required C81XC81-S76 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C81XC81-S76 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 C81XC81-S76 Hamiltonian number of vertices: 64 By formula Formula required C81XC81-S77 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian Formula required C82XC82-S42 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C82XC82-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 16 17 18 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 10 11 12 13 14 15 16 17 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 13 14 15 16 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 25 26 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 8 9 10 11 Not Hamiltonian Formula required C82XC82-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 16 17 18 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 10 11 12 13 14 15 16 17 18 19 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C82XC82-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C82XC82-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C82XC82-S45 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 Not Hamiltonian Formula required C82XC82-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 19 20 0 1 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 21 22 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C82XC82-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C82XC82-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C82XC82-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 C82XC82-S48 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C82XC82-S48 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 Not Hamiltonian Formula required C82XC82-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C82XC82-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C82XC82-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C82XC82-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 C82XC82-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 C82XC82-S51 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 C82XC82-S51 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C82XC82-S51 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 17 18 0 1 2 3 4 5 C82XC82-S51 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian Formula required C82XC82-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian Formula required C82XC82-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C82XC82-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C82XC82-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 C82XC82-S54 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 5 6 C82XC82-S54 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 11 12 13 C82XC82-S54 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 19 20 0 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 16 17 18 C82XC82-S54 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 2 3 Not Hamiltonian Formula required C82XC82-S55 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C82XC82-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C82XC82-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C82XC82-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 C82XC82-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 C82XC82-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 C82XC82-S57 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 C82XC82-S57 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 Not Hamiltonian Formula required C82XC82-S57 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C82XC82-S59 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 3 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 2 3 Not Hamiltonian Formula required C82XC82-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C82XC82-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C82XC82-S60 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C82XC82-S61 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 4 5 Not Hamiltonian Formula required C82XC82-S63 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 3 Not Hamiltonian Formula required C82XC82-S65 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian Formula required C82XC82-S66 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C82XC82-S66 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 6 7 8 9 10 C82XC82-S66 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 0 1 2 7 8 C82XC82-S66 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 C82XC82-S66 Hamiltonian number of vertices: 65 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 10 11 Not Hamiltonian Formula required C82XC82-S66 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian Formula required C82XC82-S67 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 3 7 Not Hamiltonian Formula required C82XC82-S69 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 Not Hamiltonian Formula required C82XC82-S71 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 0 5 Not Hamiltonian Formula required C82XC82-S72 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C82XC82-S73 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C82XC82-S75 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 Not Hamiltonian Formula required C82XC82-S77 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 0 Not Hamiltonian Formula required C82XC82-S78 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 Not Hamiltonian Formula required C82XC82-S79 v = 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian Formula required C83XC83-S42 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C83XC83-S42 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S42 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C83XC83-S42 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 C83XC83-S42 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 C83XC83-S42 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C83XC83-S42 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 C83XC83-S42 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 21 22 C83XC83-S42 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C83XC83-S42 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 10 11 12 13 14 15 16 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 13 14 15 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 C83XC83-S42 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 24 25 26 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 23 24 25 26 C83XC83-S42 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 20 21 22 C83XC83-S42 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 12 13 14 C83XC83-S42 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 10 C83XC83-S42 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 4 5 6 C83XC83-S42 Hamiltonian number of vertices: 76 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 2 C83XC83-S42 Hamiltonian number of vertices: 80 By formula Formula required C83XC83-S43 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C83XC83-S43 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C83XC83-S43 Hamiltonian number of vertices: 9 By formula Formula required C83XC83-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C83XC83-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C83XC83-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C83XC83-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 7 8 9 10 11 12 13 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C83XC83-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 C83XC83-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 C83XC83-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 C83XC83-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 19 20 C83XC83-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C83XC83-S44 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C83XC83-S44 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S44 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 10 11 12 13 14 15 16 17 18 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 13 14 15 16 17 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 1 2 3 4 C83XC83-S44 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 25 26 C83XC83-S44 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 20 21 22 C83XC83-S44 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 16 17 18 C83XC83-S44 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 14 Not Hamiltonian Formula required C83XC83-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C83XC83-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C83XC83-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 C83XC83-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 C83XC83-S46 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 18 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 10 11 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 C83XC83-S46 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 18 19 20 21 22 23 24 25 26 C83XC83-S46 Hamiltonian number of vertices: 56 By formula Formula required C83XC83-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C83XC83-S46 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C83XC83-S46 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C83XC83-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C83XC83-S46 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C83XC83-S46 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 C83XC83-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 C83XC83-S46 Hamiltonian number of vertices: 27 By formula Formula required C83XC83-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C83XC83-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C83XC83-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C83XC83-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 C83XC83-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C83XC83-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 C83XC83-S48 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C83XC83-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C83XC83-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 0 1 2 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 17 18 19 20 21 0 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 C83XC83-S48 Hamiltonian number of vertices: 44 By formula Formula required C83XC83-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C83XC83-S49 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C83XC83-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 C83XC83-S49 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C83XC83-S49 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C83XC83-S49 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 C83XC83-S49 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 C83XC83-S49 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 Not Hamiltonian Formula required C83XC83-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C83XC83-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C83XC83-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 C83XC83-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 C83XC83-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 C83XC83-S50 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 Not Hamiltonian Formula required C83XC83-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C83XC83-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C83XC83-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C83XC83-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 C83XC83-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 C83XC83-S52 Hamiltonian number of vertices: 20 By formula Formula required C83XC83-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C83XC83-S52 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C83XC83-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C83XC83-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 C83XC83-S52 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 C83XC83-S52 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C83XC83-S52 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S52 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 18 0 1 2 3 4 5 6 C83XC83-S52 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 0 1 2 C83XC83-S52 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 10 11 12 13 14 15 16 17 18 19 C83XC83-S52 Hamiltonian number of vertices: 63 By formula Formula required C83XC83-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C83XC83-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C83XC83-S54 Hamiltonian number of vertices: 8 By formula Formula required C83XC83-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C83XC83-S55 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C83XC83-S55 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C83XC83-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C83XC83-S55 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 C83XC83-S55 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 C83XC83-S55 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C83XC83-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 C83XC83-S55 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 5 6 7 C83XC83-S55 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 0 1 2 C83XC83-S55 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 12 13 14 C83XC83-S55 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 C83XC83-S55 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 0 1 2 C83XC83-S55 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 20 0 1 2 3 4 5 6 7 8 9 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 18 19 C83XC83-S55 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 C83XC83-S55 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 3 4 C83XC83-S55 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 1 C83XC83-S55 Hamiltonian number of vertices: 81 By formula Formula required C83XC83-S56 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C83XC83-S56 Hamiltonian number of vertices: 8 By formula Formula required C83XC83-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C83XC83-S58 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C83XC83-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C83XC83-S58 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C83XC83-S58 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 C83XC83-S58 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 C83XC83-S58 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 C83XC83-S58 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 C83XC83-S58 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 C83XC83-S58 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C83XC83-S58 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C83XC83-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C83XC83-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 C83XC83-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C83XC83-S60 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C83XC83-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C83XC83-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C83XC83-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C83XC83-S60 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 C83XC83-S60 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 4 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S60 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 C83XC83-S60 Hamiltonian number of vertices: 56 By formula Formula required C83XC83-S61 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C83XC83-S61 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C83XC83-S61 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C83XC83-S61 Hamiltonian number of vertices: 15 By formula Formula required C83XC83-S62 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C83XC83-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C83XC83-S62 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 C83XC83-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 C83XC83-S62 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 C83XC83-S62 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 C83XC83-S62 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 C83XC83-S62 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 2 C83XC83-S62 Hamiltonian number of vertices: 80 By formula Formula required C83XC83-S64 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C83XC83-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C83XC83-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S64 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 C83XC83-S64 Hamiltonian number of vertices: 48 By formula Formula required C83XC83-S66 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C83XC83-S66 Hamiltonian number of vertices: 8 By formula Formula required C83XC83-S67 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C83XC83-S67 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C83XC83-S67 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 C83XC83-S67 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 6 7 8 9 10 C83XC83-S67 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 5 6 0 1 2 3 7 8 C83XC83-S67 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 0 1 2 C83XC83-S67 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 0 1 C83XC83-S67 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 0 1 2 C83XC83-S67 Hamiltonian number of vertices: 50 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 1 2 3 4 5 C83XC83-S67 Hamiltonian number of vertices: 55 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 C83XC83-S67 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 2 3 4 C83XC83-S67 Hamiltonian number of vertices: 65 By formula Formula required C83XC83-S67 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C83XC83-S67 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 C83XC83-S67 Hamiltonian number of vertices: 18 By formula Formula required C83XC83-S68 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C83XC83-S68 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 1 2 Not Hamiltonian Formula required C83XC83-S70 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C83XC83-S70 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 C83XC83-S70 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 C83XC83-S70 Hamiltonian number of vertices: 48 By formula Formula required C83XC83-S72 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C83XC83-S72 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 C83XC83-S72 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 C83XC83-S72 Hamiltonian number of vertices: 48 By formula Formula required C83XC83-S73 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C83XC83-S73 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 4 5 6 C83XC83-S73 Hamiltonian number of vertices: 27 By formula Formula required C83XC83-S74 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C83XC83-S74 Hamiltonian number of vertices: 20 By formula Formula required C83XC83-S76 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C83XC83-S76 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 C83XC83-S76 Hamiltonian number of vertices: 72 By formula Formula required C83XC83-S78 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C83XC83-S78 Hamiltonian number of vertices: 32 By formula Formula required C83XC83-S79 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 0 C83XC83-S79 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 C83XC83-S79 Hamiltonian number of vertices: 63 By formula Formula required C83XC83-S80 v = 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 C83XC83-S80 Hamiltonian number of vertices: 56 By formula Formula required C84XC84-S43 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 10 11 12 13 14 15 16 17 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 13 14 15 16 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 25 26 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 4 5 Not Hamiltonian Formula required C84XC84-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C84XC84-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 7 8 9 10 11 12 13 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 10 11 12 13 14 15 16 17 18 19 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 13 14 15 16 17 18 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 Not Hamiltonian Formula required C84XC84-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 7 8 9 10 11 12 13 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 15 16 17 18 19 20 21 22 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 10 11 12 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 20 21 22 23 24 25 26 0 1 2 Not Hamiltonian Formula required C84XC84-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C84XC84-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 C84XC84-S47 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian Formula required C84XC84-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C84XC84-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C84XC84-S50 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C84XC84-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 C84XC84-S50 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 C84XC84-S50 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 C84XC84-S50 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 Not Hamiltonian Formula required C84XC84-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 Not Hamiltonian Formula required C84XC84-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 Not Hamiltonian Formula required C84XC84-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C84XC84-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 C84XC84-S53 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 2 3 4 5 6 7 C84XC84-S53 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C84XC84-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian Formula required C84XC84-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C84XC84-S56 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 C84XC84-S56 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 C84XC84-S56 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 C84XC84-S56 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 6 7 8 C84XC84-S56 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 13 14 15 C84XC84-S56 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 6 7 C84XC84-S56 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 4 5 6 7 8 9 10 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 10 11 12 13 14 C84XC84-S56 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 2 Not Hamiltonian Formula required C84XC84-S57 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C84XC84-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C84XC84-S59 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C84XC84-S59 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 C84XC84-S59 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 C84XC84-S59 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 C84XC84-S59 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 Not Hamiltonian Formula required C84XC84-S59 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 Not Hamiltonian Formula required C84XC84-S61 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 5 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C84XC84-S62 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian Formula required C84XC84-S63 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 3 Not Hamiltonian Formula required C84XC84-S65 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 Not Hamiltonian Formula required C84XC84-S67 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C84XC84-S68 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 5 6 0 1 2 3 4 7 8 C84XC84-S68 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 Not Hamiltonian Formula required C84XC84-S68 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C84XC84-S69 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 1 2 Not Hamiltonian Formula required C84XC84-S71 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 Not Hamiltonian Formula required C84XC84-S73 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 Not Hamiltonian Formula required C84XC84-S74 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 0 1 4 5 Not Hamiltonian Formula required C84XC84-S75 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian Formula required C84XC84-S77 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 Not Hamiltonian Formula required C84XC84-S79 v = 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian Formula required C84XC84-S80 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 Not Hamiltonian Formula required C84XC84-S81 v = 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 Not Hamiltonian Formula required C85XC85-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C85XC85-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C85XC85-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C85XC85-S44 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 4 C85XC85-S44 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 C85XC85-S44 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 C85XC85-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 C85XC85-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 20 C85XC85-S44 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C85XC85-S44 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S44 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 10 11 12 13 14 15 16 17 18 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 13 14 15 16 17 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 C85XC85-S44 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 25 26 27 0 C85XC85-S44 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 20 21 22 23 24 C85XC85-S44 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 6 7 8 C85XC85-S44 Hamiltonian number of vertices: 76 By formula Formula required C85XC85-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C85XC85-S45 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C85XC85-S45 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C85XC85-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C85XC85-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 7 8 9 10 11 12 13 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 C85XC85-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 C85XC85-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 C85XC85-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 C85XC85-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 10 11 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 13 14 15 16 17 18 19 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 5 6 C85XC85-S46 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 18 19 20 21 22 23 24 25 26 27 0 C85XC85-S46 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 20 21 22 23 24 C85XC85-S46 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 16 17 18 19 20 C85XC85-S46 Hamiltonian number of vertices: 64 By formula Formula required C85XC85-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C85XC85-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C85XC85-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C85XC85-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 7 8 9 10 11 12 13 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 C85XC85-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C85XC85-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C85XC85-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 C85XC85-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 C85XC85-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 19 20 21 0 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 16 17 18 19 20 21 22 0 1 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S48 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 10 11 12 13 14 15 16 17 18 19 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 C85XC85-S48 Hamiltonian number of vertices: 52 By formula Formula required C85XC85-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C85XC85-S48 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C85XC85-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S48 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 C85XC85-S48 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C85XC85-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 C85XC85-S48 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C85XC85-S48 Hamiltonian number of vertices: 33 By formula Formula required C85XC85-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C85XC85-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C85XC85-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 4 5 6 7 0 1 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 C85XC85-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 C85XC85-S50 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C85XC85-S51 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C85XC85-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C85XC85-S51 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 C85XC85-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 C85XC85-S51 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C85XC85-S51 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C85XC85-S51 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 C85XC85-S51 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 C85XC85-S51 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C85XC85-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C85XC85-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C85XC85-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C85XC85-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 4 5 6 7 0 1 2 3 8 C85XC85-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 C85XC85-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 Not Hamiltonian Formula required C85XC85-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C85XC85-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C85XC85-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C85XC85-S54 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C85XC85-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C85XC85-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C85XC85-S54 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 C85XC85-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C85XC85-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 C85XC85-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 C85XC85-S54 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 C85XC85-S54 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 C85XC85-S54 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 C85XC85-S54 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C85XC85-S54 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S54 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 0 1 2 3 4 C85XC85-S54 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 16 17 18 19 20 0 C85XC85-S54 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 0 1 2 3 4 5 6 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 17 18 C85XC85-S54 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C85XC85-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C85XC85-S56 Hamiltonian number of vertices: 4 By formula Formula required C85XC85-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C85XC85-S57 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C85XC85-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C85XC85-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C85XC85-S57 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 C85XC85-S57 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 C85XC85-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 C85XC85-S57 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 C85XC85-S57 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 C85XC85-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 C85XC85-S57 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 7 8 9 C85XC85-S57 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 2 3 4 C85XC85-S57 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 C85XC85-S57 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 C85XC85-S57 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 C85XC85-S57 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 11 12 13 14 15 C85XC85-S57 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 C85XC85-S57 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 C85XC85-S57 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 3 C85XC85-S57 Hamiltonian number of vertices: 81 By formula Formula required C85XC85-S58 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C85XC85-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian Formula required C85XC85-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C85XC85-S60 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C85XC85-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C85XC85-S60 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S60 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 C85XC85-S60 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 C85XC85-S60 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C85XC85-S60 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C85XC85-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C85XC85-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C85XC85-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 C85XC85-S60 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C85XC85-S62 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C85XC85-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C85XC85-S62 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 C85XC85-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 11 12 C85XC85-S62 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 6 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 0 C85XC85-S62 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 13 0 C85XC85-S62 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S63 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C85XC85-S63 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C85XC85-S63 Hamiltonian number of vertices: 9 By formula Formula required C85XC85-S64 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C85XC85-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C85XC85-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 C85XC85-S64 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S64 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 C85XC85-S64 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 0 C85XC85-S64 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 0 C85XC85-S64 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 C85XC85-S64 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 0 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 C85XC85-S64 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 4 Not Hamiltonian Formula required C85XC85-S64 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S66 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C85XC85-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C85XC85-S66 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S66 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 C85XC85-S66 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 C85XC85-S66 Hamiltonian number of vertices: 40 By formula Formula required C85XC85-S69 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C85XC85-S69 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S69 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 C85XC85-S69 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 C85XC85-S69 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 2 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 2 3 4 5 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 0 1 2 3 4 C85XC85-S69 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 0 1 2 3 C85XC85-S69 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 0 1 2 3 4 C85XC85-S69 Hamiltonian number of vertices: 50 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 3 4 5 6 7 C85XC85-S69 Hamiltonian number of vertices: 55 By formula Formula required C85XC85-S69 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C85XC85-S69 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C85XC85-S69 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 10 C85XC85-S69 Hamiltonian number of vertices: 30 By formula Formula required C85XC85-S70 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C85XC85-S70 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S72 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C85XC85-S72 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 C85XC85-S72 Hamiltonian number of vertices: 36 By formula Formula required C85XC85-S74 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C85XC85-S74 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 5 6 C85XC85-S74 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 0 C85XC85-S74 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 Not Hamiltonian Formula required C85XC85-S75 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C85XC85-S75 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C85XC85-S75 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S76 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C85XC85-S76 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S78 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C85XC85-S78 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 0 C85XC85-S78 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 C85XC85-S78 Hamiltonian number of vertices: 72 By formula Formula required C85XC85-S79 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C85XC85-S81 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 0 C85XC85-S81 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 C85XC85-S81 Hamiltonian number of vertices: 63 By formula Formula required C85XC85-S82 v = 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 C85XC85-S82 Hamiltonian number of vertices: 56 By formula Formula required C86XC86-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 13 14 15 16 17 18 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 8 9 10 11 Not Hamiltonian Formula required C86XC86-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C86XC86-S46 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C86XC86-S46 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C86XC86-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 13 14 15 16 17 18 19 20 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 20 21 22 23 24 25 26 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 24 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C86XC86-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 20 21 0 1 2 3 4 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 17 18 19 20 21 22 0 1 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 16 17 18 19 20 21 22 23 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C86XC86-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C86XC86-S49 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C86XC86-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 C86XC86-S49 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C86XC86-S49 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian Formula required C86XC86-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C86XC86-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C86XC86-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C86XC86-S52 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 C86XC86-S52 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C86XC86-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 Not Hamiltonian Formula required C86XC86-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian Formula required C86XC86-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C86XC86-S55 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C86XC86-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 C86XC86-S55 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 C86XC86-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 12 13 14 15 16 0 C86XC86-S55 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 10 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 4 5 6 7 8 9 C86XC86-S55 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 5 6 7 8 9 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 18 19 20 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 0 1 2 3 4 5 6 7 8 9 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 9 10 11 12 13 14 15 16 C86XC86-S55 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 12 13 Not Hamiltonian Formula required C86XC86-S57 v = 2 0 1 0 1 Not Hamiltonian Formula required C86XC86-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C86XC86-S58 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C86XC86-S58 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 C86XC86-S58 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 C86XC86-S58 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 16 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 10 11 12 13 14 15 16 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 C86XC86-S58 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 5 6 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 C86XC86-S58 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 17 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 12 13 14 15 16 C86XC86-S58 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6 7 Not Hamiltonian Formula required C86XC86-S59 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 Not Hamiltonian Formula required C86XC86-S61 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C86XC86-S61 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C86XC86-S61 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 C86XC86-S61 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 C86XC86-S61 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian Formula required C86XC86-S61 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 5 11 12 13 Not Hamiltonian Formula required C86XC86-S63 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 5 6 7 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 0 Not Hamiltonian Formula required C86XC86-S64 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C86XC86-S65 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 8 9 Not Hamiltonian Formula required C86XC86-S65 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian Formula required C86XC86-S67 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian Formula required C86XC86-S69 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian Formula required C86XC86-S70 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C86XC86-S70 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 C86XC86-S70 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 C86XC86-S70 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 Not Hamiltonian Formula required C86XC86-S70 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 C86XC86-S70 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 C86XC86-S70 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian Formula required C86XC86-S71 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 Not Hamiltonian Formula required C86XC86-S73 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 Not Hamiltonian Formula required C86XC86-S75 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 Not Hamiltonian Formula required C86XC86-S76 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 4 5 6 C86XC86-S76 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 0 C86XC86-S76 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 0 1 Not Hamiltonian Formula required C86XC86-S77 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 0 Not Hamiltonian Formula required C86XC86-S79 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 0 Not Hamiltonian Formula required C86XC86-S80 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian Formula required C86XC86-S81 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian Formula required C86XC86-S82 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 Not Hamiltonian Formula required C86XC86-S83 v = 28 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 Not Hamiltonian Formula required C87XC87-S44 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C87XC87-S44 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C87XC87-S44 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 8 9 10 11 12 13 14 15 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 C87XC87-S44 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 C87XC87-S44 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 C87XC87-S44 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 C87XC87-S44 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C87XC87-S44 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S44 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 18 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 13 14 15 16 17 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 14 15 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 20 21 22 23 24 25 26 C87XC87-S44 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 16 17 18 19 20 21 22 C87XC87-S44 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 14 15 16 17 18 C87XC87-S44 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 6 7 8 9 10 C87XC87-S44 Hamiltonian number of vertices: 76 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 4 5 6 C87XC87-S44 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 2 Not Hamiltonian Formula required C87XC87-S44 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C87XC87-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C87XC87-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 6 C87XC87-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 C87XC87-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 C87XC87-S46 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 C87XC87-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C87XC87-S46 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S46 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 18 19 20 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 13 14 15 16 17 18 19 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 C87XC87-S46 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 18 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 18 19 20 21 22 23 24 25 26 27 0 1 2 C87XC87-S46 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 25 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 17 18 C87XC87-S46 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 C87XC87-S46 Hamiltonian number of vertices: 72 By formula Formula required C87XC87-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C87XC87-S47 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C87XC87-S47 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 C87XC87-S47 Hamiltonian number of vertices: 21 By formula Formula required C87XC87-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C87XC87-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C87XC87-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 C87XC87-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C87XC87-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C87XC87-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C87XC87-S48 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 12 13 14 15 16 17 18 19 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 13 14 15 16 17 18 19 20 21 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 7 8 C87XC87-S48 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 20 21 22 23 24 25 26 Not Hamiltonian Formula required C87XC87-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C87XC87-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C87XC87-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C87XC87-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 7 8 9 10 11 12 13 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 4 5 6 7 0 1 8 9 10 11 12 C87XC87-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C87XC87-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 C87XC87-S50 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 C87XC87-S50 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 C87XC87-S50 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C87XC87-S50 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 21 0 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C87XC87-S50 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 18 19 20 21 22 0 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S50 Hamiltonian number of vertices: 48 By formula Formula required C87XC87-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C87XC87-S50 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C87XC87-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C87XC87-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 C87XC87-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 C87XC87-S50 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 C87XC87-S50 Hamiltonian number of vertices: 39 By formula Formula required C87XC87-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C87XC87-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C87XC87-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C87XC87-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 4 5 6 7 0 1 2 3 8 9 10 C87XC87-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 C87XC87-S52 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 C87XC87-S52 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 C87XC87-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S52 Hamiltonian number of vertices: 36 By formula Formula required C87XC87-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C87XC87-S53 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C87XC87-S53 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C87XC87-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C87XC87-S53 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 C87XC87-S53 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 C87XC87-S53 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 C87XC87-S53 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 C87XC87-S53 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 C87XC87-S53 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 C87XC87-S53 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 C87XC87-S53 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S53 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 C87XC87-S53 Hamiltonian number of vertices: 57 By formula Formula required C87XC87-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C87XC87-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 6 7 0 1 2 3 4 5 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C87XC87-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C87XC87-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C87XC87-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian Formula required C87XC87-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C87XC87-S56 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C87XC87-S56 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C87XC87-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 C87XC87-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C87XC87-S56 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 C87XC87-S56 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C87XC87-S56 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 13 14 15 16 0 1 C87XC87-S56 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 6 7 8 9 10 C87XC87-S56 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 9 10 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 0 1 2 C87XC87-S56 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 0 1 2 3 4 5 6 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 10 11 12 13 14 15 16 17 C87XC87-S56 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 6 7 8 9 10 11 Not Hamiltonian Formula required C87XC87-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C87XC87-S59 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 C87XC87-S59 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 C87XC87-S59 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 C87XC87-S59 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 C87XC87-S59 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 C87XC87-S59 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 10 11 C87XC87-S59 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 4 5 6 C87XC87-S59 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 2 3 4 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 0 1 C87XC87-S59 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 15 16 17 18 0 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 C87XC87-S59 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 C87XC87-S59 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 9 10 11 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 18 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 13 14 15 16 17 C87XC87-S59 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 9 10 11 Not Hamiltonian Formula required C87XC87-S60 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C87XC87-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C87XC87-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C87XC87-S62 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C87XC87-S62 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C87XC87-S62 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C87XC87-S62 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C87XC87-S62 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 C87XC87-S62 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 C87XC87-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 C87XC87-S62 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C87XC87-S62 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C87XC87-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C87XC87-S62 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 C87XC87-S62 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian Formula required C87XC87-S64 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C87XC87-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C87XC87-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S64 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 11 12 C87XC87-S64 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 7 8 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 0 1 2 C87XC87-S64 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 C87XC87-S64 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 C87XC87-S64 Hamiltonian number of vertices: 72 By formula Formula required C87XC87-S65 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C87XC87-S66 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C87XC87-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C87XC87-S66 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 C87XC87-S66 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 1 2 C87XC87-S66 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 Not Hamiltonian Formula required C87XC87-S66 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C87XC87-S66 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian Formula required C87XC87-S68 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C87XC87-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C87XC87-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 C87XC87-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 C87XC87-S68 Hamiltonian number of vertices: 32 By formula Formula required C87XC87-S70 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C87XC87-S71 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C87XC87-S71 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 C87XC87-S71 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 6 7 8 9 10 C87XC87-S71 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 4 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 5 6 0 7 8 C87XC87-S71 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 0 1 2 3 4 5 6 C87XC87-S71 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 0 1 2 3 4 5 C87XC87-S71 Hamiltonian number of vertices: 45 By formula Formula required C87XC87-S71 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C87XC87-S71 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 10 C87XC87-S71 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 0 7 8 C87XC87-S71 Hamiltonian number of vertices: 42 By formula Formula required C87XC87-S72 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C87XC87-S72 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C87XC87-S72 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 C87XC87-S72 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 C87XC87-S72 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 Not Hamiltonian Formula required C87XC87-S74 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C87XC87-S74 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 C87XC87-S74 Hamiltonian number of vertices: 24 By formula Formula required C87XC87-S76 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C87XC87-S76 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 C87XC87-S76 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 6 C87XC87-S76 Hamiltonian number of vertices: 80 By formula Formula required C87XC87-S77 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C87XC87-S77 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 0 1 C87XC87-S77 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 Not Hamiltonian Formula required C87XC87-S78 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C87XC87-S78 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 Not Hamiltonian Formula required C87XC87-S80 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C87XC87-S80 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 Not Hamiltonian Formula required C87XC87-S81 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 2 3 C87XC87-S81 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 Not Hamiltonian Formula required C87XC87-S82 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian Formula required C87XC87-S83 v = 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian Formula required C88XC88-S45 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 8 9 10 11 12 13 14 15 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 15 16 17 18 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 13 14 15 16 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 16 17 18 19 20 21 22 23 24 25 26 27 28 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 4 5 Not Hamiltonian Formula required C88XC88-S45 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C88XC88-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 7 8 9 10 11 12 13 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 20 21 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 15 16 17 18 19 20 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 18 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 20 21 22 23 24 25 26 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 19 20 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 18 19 20 21 22 23 24 25 26 27 28 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 26 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 12 13 14 15 16 17 Not Hamiltonian Formula required C88XC88-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C88XC88-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C88XC88-S48 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C88XC88-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 16 17 18 19 20 21 22 23 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 13 14 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 15 16 17 18 19 20 21 22 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 20 21 22 23 24 25 26 27 28 0 Not Hamiltonian Formula required C88XC88-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 7 8 9 10 11 12 13 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 19 20 21 22 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian Formula required C88XC88-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C88XC88-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C88XC88-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 C88XC88-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 C88XC88-S51 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 C88XC88-S51 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 Not Hamiltonian Formula required C88XC88-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 Not Hamiltonian Formula required C88XC88-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C88XC88-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C88XC88-S54 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 C88XC88-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C88XC88-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 C88XC88-S54 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 C88XC88-S54 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C88XC88-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian Formula required C88XC88-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian Formula required C88XC88-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C88XC88-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 C88XC88-S57 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 C88XC88-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 C88XC88-S57 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 C88XC88-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 15 16 0 1 2 C88XC88-S57 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 7 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 1 2 3 C88XC88-S57 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 9 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 11 12 13 14 15 16 17 18 C88XC88-S57 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 7 8 9 10 11 12 C88XC88-S57 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 8 9 Not Hamiltonian Formula required C88XC88-S59 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C88XC88-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C88XC88-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C88XC88-S60 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 C88XC88-S60 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 C88XC88-S60 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 12 C88XC88-S60 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 0 1 2 C88XC88-S60 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 0 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 7 8 9 10 11 12 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 18 19 20 0 1 2 3 C88XC88-S60 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 19 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 Not Hamiltonian Formula required C88XC88-S61 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C88XC88-S63 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C88XC88-S63 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C88XC88-S63 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C88XC88-S63 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 C88XC88-S63 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian Formula required C88XC88-S63 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 5 6 7 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C88XC88-S65 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 8 9 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 8 9 10 11 Not Hamiltonian Formula required C88XC88-S67 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 0 1 2 Not Hamiltonian Formula required C88XC88-S67 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C88XC88-S67 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C88XC88-S69 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian Formula required C88XC88-S71 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C88XC88-S72 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C88XC88-S72 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 6 7 8 9 10 C88XC88-S72 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 5 6 0 1 7 8 C88XC88-S72 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C88XC88-S72 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C88XC88-S72 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 0 1 7 8 C88XC88-S72 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C88XC88-S73 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 Not Hamiltonian Formula required C88XC88-S75 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C88XC88-S77 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 7 Not Hamiltonian Formula required C88XC88-S78 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C88XC88-S78 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 0 1 2 C88XC88-S78 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 C88XC88-S78 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 Not Hamiltonian Formula required C88XC88-S79 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 2 3 Not Hamiltonian Formula required C88XC88-S81 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 Not Hamiltonian Formula required C88XC88-S82 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 0 C88XC88-S82 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 Not Hamiltonian Formula required C88XC88-S83 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 0 Not Hamiltonian Formula required C88XC88-S85 v = 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian Formula required C89XC89-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C89XC89-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C89XC89-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C89XC89-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 8 9 10 11 12 13 14 15 6 7 0 C89XC89-S46 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 C89XC89-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 C89XC89-S46 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 C89XC89-S46 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 C89XC89-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 C89XC89-S46 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 13 14 15 16 17 18 19 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 C89XC89-S46 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 18 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 14 15 16 17 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 C89XC89-S46 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 17 18 19 20 21 22 23 24 25 26 27 28 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 20 21 22 23 24 25 26 27 28 C89XC89-S46 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 16 17 18 19 20 21 22 23 24 C89XC89-S46 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 17 18 19 20 C89XC89-S46 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 C89XC89-S46 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 8 9 10 11 12 C89XC89-S46 Hamiltonian number of vertices: 76 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 6 7 8 Not Hamiltonian Formula required C89XC89-S46 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C89XC89-S46 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian Formula required C89XC89-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C89XC89-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C89XC89-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C89XC89-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 7 8 9 10 11 12 13 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C89XC89-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C89XC89-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 C89XC89-S48 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C89XC89-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 C89XC89-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 C89XC89-S48 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S48 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 13 14 15 16 17 18 19 20 21 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 18 19 20 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 3 4 C89XC89-S48 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 19 20 21 22 23 24 25 26 27 28 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 20 21 22 23 24 25 26 27 28 C89XC89-S48 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 27 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 16 17 18 19 20 21 22 23 24 C89XC89-S48 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 17 18 19 20 Not Hamiltonian Formula required C89XC89-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C89XC89-S49 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C89XC89-S49 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C89XC89-S49 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C89XC89-S49 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 C89XC89-S49 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 C89XC89-S49 Hamiltonian number of vertices: 27 By formula Formula required C89XC89-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C89XC89-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C89XC89-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 C89XC89-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 C89XC89-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 C89XC89-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 C89XC89-S50 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 C89XC89-S50 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 20 21 22 0 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S50 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 C89XC89-S50 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 C89XC89-S50 Hamiltonian number of vertices: 56 By formula Formula required C89XC89-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C89XC89-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C89XC89-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 C89XC89-S52 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 C89XC89-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 C89XC89-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 C89XC89-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 Not Hamiltonian Formula required C89XC89-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C89XC89-S52 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C89XC89-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C89XC89-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C89XC89-S52 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 C89XC89-S52 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C89XC89-S52 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C89XC89-S52 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 Not Hamiltonian Formula required C89XC89-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C89XC89-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C89XC89-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C89XC89-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 6 7 0 1 2 3 4 5 8 9 10 C89XC89-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 C89XC89-S54 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 C89XC89-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 C89XC89-S54 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 C89XC89-S54 Hamiltonian number of vertices: 32 By formula Formula required C89XC89-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C89XC89-S55 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C89XC89-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 C89XC89-S55 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 C89XC89-S55 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C89XC89-S55 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C89XC89-S55 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C89XC89-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 C89XC89-S55 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 C89XC89-S55 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 C89XC89-S55 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S55 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 C89XC89-S55 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 7 8 9 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 18 19 20 0 1 2 3 4 C89XC89-S55 Hamiltonian number of vertices: 63 By formula Formula required C89XC89-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C89XC89-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C89XC89-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C89XC89-S56 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C89XC89-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 C89XC89-S56 Hamiltonian number of vertices: 20 By formula Formula required C89XC89-S58 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C89XC89-S58 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian Formula required C89XC89-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C89XC89-S58 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C89XC89-S58 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C89XC89-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C89XC89-S58 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 C89XC89-S58 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C89XC89-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 C89XC89-S58 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 C89XC89-S58 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 C89XC89-S58 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 C89XC89-S58 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 C89XC89-S58 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 16 0 1 2 3 C89XC89-S58 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S58 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 C89XC89-S58 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 6 7 8 C89XC89-S58 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 7 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 0 C89XC89-S58 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 12 13 14 15 16 17 18 19 C89XC89-S58 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 C89XC89-S58 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 8 9 10 11 12 13 C89XC89-S58 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6 7 8 9 10 C89XC89-S58 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 4 5 6 7 Not Hamiltonian Formula required C89XC89-S60 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C89XC89-S60 Hamiltonian number of vertices: 8 By formula Formula required C89XC89-S61 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C89XC89-S61 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C89XC89-S61 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C89XC89-S61 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C89XC89-S61 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 C89XC89-S61 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 C89XC89-S61 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 C89XC89-S61 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 C89XC89-S61 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 3 4 C89XC89-S61 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 C89XC89-S61 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 0 1 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 C89XC89-S61 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 13 14 15 16 17 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 11 12 C89XC89-S61 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 C89XC89-S61 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 7 8 9 10 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 19 20 0 1 2 3 4 C89XC89-S61 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 0 C89XC89-S61 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 20 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 15 16 17 18 19 C89XC89-S61 Hamiltonian number of vertices: 69 By formula Formula required C89XC89-S62 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C89XC89-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C89XC89-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 C89XC89-S62 Hamiltonian number of vertices: 32 By formula Formula required C89XC89-S64 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C89XC89-S64 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C89XC89-S64 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C89XC89-S64 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S64 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian Formula required C89XC89-S64 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C89XC89-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C89XC89-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 C89XC89-S64 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S64 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 C89XC89-S64 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 0 1 2 3 12 C89XC89-S64 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 0 1 2 3 4 Not Hamiltonian Formula required C89XC89-S66 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C89XC89-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C89XC89-S66 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S66 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 1 2 3 4 C89XC89-S66 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 1 2 3 4 C89XC89-S66 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 C89XC89-S66 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 6 7 8 C89XC89-S66 Hamiltonian number of vertices: 80 By formula Formula required C89XC89-S68 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C89XC89-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C89XC89-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 C89XC89-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 C89XC89-S68 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 3 4 C89XC89-S68 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 3 4 C89XC89-S68 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 C89XC89-S68 Hamiltonian number of vertices: 64 By formula Formula required C89XC89-S68 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C89XC89-S68 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 2 0 1 C89XC89-S68 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C89XC89-S68 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 C89XC89-S68 Hamiltonian number of vertices: 25 By formula Formula required C89XC89-S70 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C89XC89-S70 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 C89XC89-S70 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 Not Hamiltonian Formula required C89XC89-S72 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C89XC89-S72 Hamiltonian number of vertices: 24 By formula Formula required C89XC89-S73 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C89XC89-S73 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C89XC89-S73 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 C89XC89-S73 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 0 1 2 7 8 C89XC89-S73 Hamiltonian number of vertices: 35 By formula Formula required C89XC89-S73 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C89XC89-S73 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 C89XC89-S73 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 10 C89XC89-S73 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 7 8 9 C89XC89-S73 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 0 C89XC89-S73 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 C89XC89-S73 Hamiltonian number of vertices: 54 By formula Formula required C89XC89-S74 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C89XC89-S74 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 0 C89XC89-S74 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 C89XC89-S74 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 C89XC89-S74 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 4 C89XC89-S74 Hamiltonian number of vertices: 84 By formula Formula required C89XC89-S76 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C89XC89-S76 Hamiltonian number of vertices: 12 By formula Formula required C89XC89-S78 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C89XC89-S78 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 5 6 C89XC89-S78 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 C89XC89-S78 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 0 C89XC89-S78 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 8 C89XC89-S78 Hamiltonian number of vertices: 80 By formula Formula required C89XC89-S79 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C89XC89-S79 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 4 5 6 C89XC89-S79 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 0 1 2 3 C89XC89-S79 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 C89XC89-S79 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 C89XC89-S79 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 0 C89XC89-S79 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 7 C89XC89-S79 Hamiltonian number of vertices: 81 By formula Formula required C89XC89-S80 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C89XC89-S80 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 C89XC89-S80 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 0 C89XC89-S80 Hamiltonian number of vertices: 80 By formula Formula required C89XC89-S82 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C89XC89-S82 Hamiltonian number of vertices: 24 By formula Formula required C89XC89-S83 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 2 3 C89XC89-S83 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 0 1 C89XC89-S83 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 0 C89XC89-S83 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 3 C89XC89-S83 Hamiltonian number of vertices: 75 By formula Formula required C89XC89-S84 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 C89XC89-S84 Hamiltonian number of vertices: 72 By formula Formula required C89XC89-S86 v = 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 C89XC89-S86 Hamiltonian number of vertices: 60 By formula Formula required C90XC90-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 8 9 10 11 12 13 14 15 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 18 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 13 14 15 16 17 18 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 18 19 20 21 22 23 24 25 26 27 28 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 Not Hamiltonian Formula required C90XC90-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C90XC90-S47 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian Formula required C90XC90-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 21 22 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 18 19 20 21 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 20 21 22 23 24 25 26 27 28 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 28 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C90XC90-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 C90XC90-S50 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian Formula required C90XC90-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 7 8 9 10 11 12 13 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 21 22 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 0 1 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 15 16 17 18 19 20 21 22 23 24 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C90XC90-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian Formula required C90XC90-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C90XC90-S53 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 C90XC90-S53 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 Not Hamiltonian Formula required C90XC90-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 Not Hamiltonian Formula required C90XC90-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C90XC90-S56 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 C90XC90-S56 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 C90XC90-S56 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 C90XC90-S56 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 C90XC90-S56 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C90XC90-S56 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 7 8 9 10 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 0 1 Not Hamiltonian Formula required C90XC90-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 Not Hamiltonian Formula required C90XC90-S59 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian Formula required C90XC90-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 C90XC90-S59 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 C90XC90-S59 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 0 1 2 3 4 C90XC90-S59 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 18 0 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 7 8 9 10 11 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 17 18 19 20 0 1 2 3 4 5 C90XC90-S59 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 21 22 0 1 2 3 4 5 6 7 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 9 10 11 12 13 14 C90XC90-S59 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 3 4 5 Not Hamiltonian Formula required C90XC90-S61 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian Formula required C90XC90-S62 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C90XC90-S62 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 C90XC90-S62 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 14 15 16 17 18 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 12 13 C90XC90-S62 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 7 8 9 10 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 0 1 Not Hamiltonian Formula required C90XC90-S63 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C90XC90-S65 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C90XC90-S65 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 C90XC90-S65 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 C90XC90-S65 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian Formula required C90XC90-S65 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 8 9 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 0 1 2 3 4 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C90XC90-S67 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 0 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 4 5 Not Hamiltonian Formula required C90XC90-S69 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 Not Hamiltonian Formula required C90XC90-S69 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 C90XC90-S69 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C90XC90-S71 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C90XC90-S73 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian Formula required C90XC90-S74 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 C90XC90-S74 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian Formula required C90XC90-S74 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 10 C90XC90-S74 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 Not Hamiltonian Formula required C90XC90-S75 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 5 Not Hamiltonian Formula required C90XC90-S77 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C90XC90-S79 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 Not Hamiltonian Formula required C90XC90-S80 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 8 Not Hamiltonian Formula required C90XC90-S81 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 1 Not Hamiltonian Formula required C90XC90-S83 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian Formula required C90XC90-S84 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 4 Not Hamiltonian Formula required C90XC90-S85 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 Not Hamiltonian Formula required C90XC90-S87 v = 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 Not Hamiltonian Formula required C91XC91-S46 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C91XC91-S46 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C91XC91-S46 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C91XC91-S46 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 8 9 10 11 12 13 14 15 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 C91XC91-S46 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 1 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 C91XC91-S46 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 21 22 23 24 25 26 27 28 C91XC91-S46 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 C91XC91-S46 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 20 21 22 23 24 C91XC91-S46 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 22 C91XC91-S46 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 C91XC91-S46 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 18 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 14 15 16 17 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 C91XC91-S46 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 4 5 6 7 8 9 10 11 12 13 14 15 16 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 C91XC91-S46 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 16 17 18 19 20 21 22 23 24 25 26 C91XC91-S46 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 17 18 C91XC91-S46 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 8 9 10 11 12 13 14 C91XC91-S46 Hamiltonian number of vertices: 76 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 6 7 8 9 10 C91XC91-S46 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 2 C91XC91-S46 Hamiltonian number of vertices: 88 By formula Formula required C91XC91-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C91XC91-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C91XC91-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C91XC91-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C91XC91-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 C91XC91-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 C91XC91-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C91XC91-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 C91XC91-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 C91XC91-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 C91XC91-S48 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C91XC91-S48 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 20 21 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 C91XC91-S48 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 18 19 20 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 14 15 16 17 18 19 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 C91XC91-S48 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 19 20 21 22 23 24 25 26 27 28 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 20 21 22 23 24 25 26 27 28 29 0 C91XC91-S48 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 23 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 C91XC91-S48 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 10 11 12 13 14 C91XC91-S48 Hamiltonian number of vertices: 76 By formula Formula required C91XC91-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C91XC91-S48 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C91XC91-S48 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C91XC91-S48 Hamiltonian number of vertices: 15 By formula Formula required C91XC91-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C91XC91-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C91XC91-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C91XC91-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 C91XC91-S50 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 C91XC91-S50 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 18 19 20 21 22 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 C91XC91-S50 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 29 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 18 19 20 21 22 23 24 25 26 C91XC91-S50 Hamiltonian number of vertices: 64 By formula Formula required C91XC91-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C91XC91-S51 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C91XC91-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C91XC91-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C91XC91-S51 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 C91XC91-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 C91XC91-S51 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 C91XC91-S51 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian Formula required C91XC91-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C91XC91-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C91XC91-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C91XC91-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 7 8 9 10 11 12 13 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C91XC91-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 C91XC91-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 C91XC91-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 C91XC91-S52 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 C91XC91-S52 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 22 0 1 2 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 19 20 21 22 23 0 1 2 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 16 17 18 19 20 21 22 23 24 0 1 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C91XC91-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C91XC91-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C91XC91-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C91XC91-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 7 8 9 10 11 12 13 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 C91XC91-S54 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 C91XC91-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C91XC91-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S54 Hamiltonian number of vertices: 40 By formula Formula required C91XC91-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C91XC91-S54 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C91XC91-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C91XC91-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C91XC91-S54 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C91XC91-S54 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 C91XC91-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 C91XC91-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 C91XC91-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 C91XC91-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 C91XC91-S54 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 C91XC91-S54 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 C91XC91-S54 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 C91XC91-S54 Hamiltonian number of vertices: 51 By formula Formula required C91XC91-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C91XC91-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C91XC91-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 C91XC91-S56 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 C91XC91-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C91XC91-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C91XC91-S57 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C91XC91-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C91XC91-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C91XC91-S57 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 C91XC91-S57 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C91XC91-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 C91XC91-S57 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 C91XC91-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 C91XC91-S57 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 C91XC91-S57 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 C91XC91-S57 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C91XC91-S57 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S57 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 7 8 9 10 11 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 1 2 3 4 5 6 C91XC91-S57 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 9 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 13 14 15 16 17 18 19 20 21 0 1 2 C91XC91-S57 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 22 0 1 2 3 4 5 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 11 12 13 14 15 16 17 18 19 20 21 C91XC91-S57 Hamiltonian number of vertices: 69 By formula Formula required C91XC91-S58 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C91XC91-S58 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C91XC91-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian Formula required C91XC91-S60 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C91XC91-S60 Hamiltonian number of vertices: 4 By formula Formula required C91XC91-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C91XC91-S60 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C91XC91-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S60 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C91XC91-S60 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C91XC91-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 C91XC91-S60 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 C91XC91-S60 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C91XC91-S60 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 C91XC91-S60 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 C91XC91-S60 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C91XC91-S60 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S60 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 0 C91XC91-S60 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S60 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 7 8 9 10 11 12 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 18 19 20 0 1 2 3 4 5 6 C91XC91-S60 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 0 1 2 C91XC91-S60 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 22 0 1 2 3 4 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 14 15 16 17 18 19 20 21 C91XC91-S60 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 10 11 12 13 14 15 C91XC91-S60 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 6 7 8 9 C91XC91-S60 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 2 3 C91XC91-S60 Hamiltonian number of vertices: 87 By formula Formula required C91XC91-S62 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C91XC91-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian Formula required C91XC91-S63 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C91XC91-S63 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C91XC91-S63 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C91XC91-S63 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C91XC91-S63 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 C91XC91-S63 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C91XC91-S63 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 C91XC91-S63 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 C91XC91-S63 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 C91XC91-S63 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 C91XC91-S63 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S63 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 4 5 C91XC91-S63 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 15 16 17 18 0 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 13 14 C91XC91-S63 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 15 16 17 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 C91XC91-S63 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 4 5 6 Not Hamiltonian Formula required C91XC91-S64 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C91XC91-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C91XC91-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C91XC91-S64 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C91XC91-S64 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 C91XC91-S64 Hamiltonian number of vertices: 40 By formula Formula required C91XC91-S66 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C91XC91-S66 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C91XC91-S66 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C91XC91-S66 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C91XC91-S66 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C91XC91-S66 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 C91XC91-S66 Hamiltonian number of vertices: 27 By formula Formula required C91XC91-S66 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C91XC91-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C91XC91-S66 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C91XC91-S66 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 C91XC91-S66 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 1 2 3 4 5 12 C91XC91-S66 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 1 2 3 4 5 6 C91XC91-S66 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 9 10 C91XC91-S66 Hamiltonian number of vertices: 64 By formula Formula required C91XC91-S68 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C91XC91-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C91XC91-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 C91XC91-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C91XC91-S68 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 11 12 C91XC91-S68 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 0 1 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 3 4 5 6 C91XC91-S68 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 3 4 5 6 C91XC91-S68 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 0 C91XC91-S68 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 8 9 10 C91XC91-S68 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 2 C91XC91-S68 Hamiltonian number of vertices: 88 By formula Formula required C91XC91-S70 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C91XC91-S70 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C91XC91-S70 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 C91XC91-S70 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S70 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 C91XC91-S70 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 Not Hamiltonian Formula required C91XC91-S70 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C91XC91-S70 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C91XC91-S70 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C91XC91-S70 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C91XC91-S72 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C91XC91-S72 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C91XC91-S72 Hamiltonian number of vertices: 16 By formula Formula required C91XC91-S74 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 9 10 C91XC91-S74 Hamiltonian number of vertices: 36 By formula Formula required C91XC91-S75 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C91XC91-S75 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 C91XC91-S75 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 C91XC91-S75 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 11 12 13 14 15 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S75 Hamiltonian number of vertices: 25 By formula Formula required C91XC91-S75 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C91XC91-S75 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C91XC91-S75 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S75 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 9 C91XC91-S75 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 8 C91XC91-S75 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 0 1 2 C91XC91-S75 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 0 C91XC91-S75 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 0 C91XC91-S75 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 0 1 2 C91XC91-S75 Hamiltonian number of vertices: 66 By formula Formula required C91XC91-S76 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C91XC91-S76 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C91XC91-S76 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 0 C91XC91-S76 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 C91XC91-S76 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 Not Hamiltonian Formula required C91XC91-S76 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian Formula required C91XC91-S80 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C91XC91-S80 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 C91XC91-S80 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 0 C91XC91-S80 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 C91XC91-S80 Hamiltonian number of vertices: 64 By formula Formula required C91XC91-S81 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C91XC91-S81 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C91XC91-S81 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 0 C91XC91-S81 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 0 C91XC91-S81 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 C91XC91-S81 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 0 C91XC91-S81 Hamiltonian number of vertices: 81 By formula Formula required C91XC91-S82 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C91XC91-S82 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 0 C91XC91-S82 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 2 C91XC91-S82 Hamiltonian number of vertices: 80 By formula Formula required C91XC91-S85 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 2 3 C91XC91-S85 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 0 C91XC91-S85 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 C91XC91-S85 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 0 C91XC91-S85 Hamiltonian number of vertices: 75 By formula Formula required C91XC91-S86 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 C91XC91-S86 Hamiltonian number of vertices: 72 By formula Formula required C91XC91-S88 v = 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 C91XC91-S88 Hamiltonian number of vertices: 60 By formula Formula required C92XC92-S47 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 8 9 10 11 12 13 14 15 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 0 1 2 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 18 19 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 14 15 16 17 18 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 5 6 7 8 9 10 11 12 13 14 15 16 17 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 4 5 Not Hamiltonian Formula required C92XC92-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 18 19 20 21 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 14 15 16 17 18 19 20 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 20 21 22 23 24 25 26 27 28 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 12 13 14 15 16 17 Not Hamiltonian Formula required C92XC92-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian Formula required C92XC92-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 0 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 18 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian Formula required C92XC92-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C92XC92-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C92XC92-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C92XC92-S52 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian Formula required C92XC92-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 7 8 9 10 11 12 13 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 5 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 20 21 22 23 0 1 2 3 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 17 18 19 20 21 22 23 24 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C92XC92-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 7 8 9 10 11 12 13 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C92XC92-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C92XC92-S55 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C92XC92-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 C92XC92-S55 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 C92XC92-S55 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C92XC92-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 C92XC92-S55 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 Not Hamiltonian Formula required C92XC92-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 Not Hamiltonian Formula required C92XC92-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C92XC92-S58 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 C92XC92-S58 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C92XC92-S58 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 C92XC92-S58 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 C92XC92-S58 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 C92XC92-S58 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C92XC92-S58 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 8 9 10 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 3 4 5 6 7 C92XC92-S58 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 7 8 9 10 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 14 15 16 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 0 1 2 3 4 5 6 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 20 21 22 23 0 1 2 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C92XC92-S59 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian Formula required C92XC92-S61 v = 2 0 1 0 1 Not Hamiltonian Formula required C92XC92-S61 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C92XC92-S61 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 C92XC92-S61 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 C92XC92-S61 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 1 2 3 4 5 6 C92XC92-S61 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 8 9 10 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 19 20 0 1 2 3 4 5 6 7 C92XC92-S61 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 7 8 9 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 11 12 13 14 15 16 C92XC92-S61 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 7 8 9 10 C92XC92-S61 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 3 4 C92XC92-S61 Hamiltonian number of vertices: 87 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 1 Not Hamiltonian Formula required C92XC92-S63 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 Not Hamiltonian Formula required C92XC92-S64 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C92XC92-S64 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 C92XC92-S64 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 C92XC92-S64 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 16 17 18 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 15 16 17 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C92XC92-S65 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 Not Hamiltonian Formula required C92XC92-S67 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C92XC92-S67 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C92XC92-S67 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 0 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 2 3 4 5 6 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 0 1 2 3 4 5 6 Not Hamiltonian Formula required C92XC92-S69 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 2 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 3 Not Hamiltonian Formula required C92XC92-S71 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 Not Hamiltonian Formula required C92XC92-S71 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 2 0 1 C92XC92-S71 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 C92XC92-S71 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 5 6 0 7 8 9 10 11 12 13 C92XC92-S71 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian Formula required C92XC92-S73 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian Formula required C92XC92-S75 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian Formula required C92XC92-S76 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 1 2 0 3 4 5 6 7 8 9 10 11 12 C92XC92-S76 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C92XC92-S76 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 C92XC92-S76 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 10 C92XC92-S76 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 0 1 C92XC92-S76 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 1 2 3 C92XC92-S76 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 Not Hamiltonian Formula required C92XC92-S77 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 0 Not Hamiltonian Formula required C92XC92-S77 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 1 0 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C92XC92-S79 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian Formula required C92XC92-S81 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 0 Not Hamiltonian Formula required C92XC92-S82 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 4 5 6 C92XC92-S82 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 0 1 C92XC92-S82 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 0 C92XC92-S82 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 Not Hamiltonian Formula required C92XC92-S83 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 6 0 Not Hamiltonian Formula required C92XC92-S85 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian Formula required C92XC92-S86 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 0 1 C92XC92-S86 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 Not Hamiltonian Formula required C92XC92-S87 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 Not Hamiltonian Formula required C92XC92-S89 v = 30 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 Not Hamiltonian Formula required C93XC93-S47 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C93XC93-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C93XC93-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C93XC93-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C93XC93-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 C93XC93-S48 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C93XC93-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 C93XC93-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 22 C93XC93-S48 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C93XC93-S48 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 18 19 20 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 14 15 16 17 18 19 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 C93XC93-S48 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 6 7 8 9 10 11 12 13 14 15 16 17 18 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 8 9 10 11 12 C93XC93-S48 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 Not Hamiltonian Formula required C93XC93-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C93XC93-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C93XC93-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 8 9 10 11 12 13 14 15 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 C93XC93-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 C93XC93-S50 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 C93XC93-S50 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 C93XC93-S50 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 C93XC93-S50 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C93XC93-S50 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 18 19 20 21 22 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 14 15 16 17 18 19 20 21 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 C93XC93-S50 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 18 19 20 21 22 23 24 25 26 27 28 C93XC93-S50 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 25 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 C93XC93-S50 Hamiltonian number of vertices: 72 By formula Formula required C93XC93-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C93XC93-S50 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C93XC93-S50 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C93XC93-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C93XC93-S50 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C93XC93-S50 Hamiltonian number of vertices: 21 By formula Formula required C93XC93-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C93XC93-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C93XC93-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 4 C93XC93-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 C93XC93-S52 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 C93XC93-S52 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 C93XC93-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 C93XC93-S52 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 C93XC93-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 C93XC93-S52 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C93XC93-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 18 19 20 21 22 23 24 0 1 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C93XC93-S52 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 18 19 20 21 22 23 24 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 25 26 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 24 25 26 27 0 1 2 3 4 5 6 7 8 C93XC93-S52 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 23 24 25 26 27 28 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 22 23 24 25 26 27 28 29 0 1 2 Not Hamiltonian Formula required C93XC93-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C93XC93-S53 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C93XC93-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 C93XC93-S53 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 C93XC93-S53 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C93XC93-S53 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian Formula required C93XC93-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C93XC93-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 C93XC93-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 C93XC93-S54 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 C93XC93-S54 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 0 1 2 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian Formula required C93XC93-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C93XC93-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C93XC93-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C93XC93-S56 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C93XC93-S56 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 C93XC93-S56 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 C93XC93-S56 Hamiltonian number of vertices: 36 By formula Formula required C93XC93-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C93XC93-S56 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C93XC93-S56 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 C93XC93-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C93XC93-S56 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C93XC93-S56 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 C93XC93-S56 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 C93XC93-S56 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 C93XC93-S56 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C93XC93-S56 Hamiltonian number of vertices: 57 By formula Formula required C93XC93-S58 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C93XC93-S58 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C93XC93-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C93XC93-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 4 5 6 7 0 1 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 C93XC93-S58 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian Formula required C93XC93-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C93XC93-S59 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C93XC93-S59 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C93XC93-S59 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C93XC93-S59 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 C93XC93-S59 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C93XC93-S59 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 C93XC93-S59 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 C93XC93-S59 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 C93XC93-S59 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 C93XC93-S59 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 C93XC93-S59 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S59 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 9 10 11 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 1 2 3 4 5 6 7 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 13 14 15 16 17 18 19 20 21 22 0 C93XC93-S59 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 21 22 23 0 1 2 3 4 5 6 7 8 9 10 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 12 13 14 15 16 17 18 19 20 C93XC93-S59 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 9 10 11 12 13 14 15 16 17 C93XC93-S59 Hamiltonian number of vertices: 75 By formula Formula required C93XC93-S60 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C93XC93-S60 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C93XC93-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian Formula required C93XC93-S62 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C93XC93-S62 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C93XC93-S62 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C93XC93-S62 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C93XC93-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 C93XC93-S62 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 3 4 5 6 7 C93XC93-S62 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 15 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 9 10 11 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 16 17 18 19 20 21 22 0 C93XC93-S62 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 12 13 14 15 16 17 C93XC93-S62 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 8 9 10 11 C93XC93-S62 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 4 5 C93XC93-S62 Hamiltonian number of vertices: 87 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 2 Not Hamiltonian Formula required C93XC93-S64 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C93XC93-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C93XC93-S64 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian Formula required C93XC93-S65 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C93XC93-S65 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C93XC93-S65 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 C93XC93-S65 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 C93XC93-S65 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 C93XC93-S65 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 C93XC93-S65 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 C93XC93-S65 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S65 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 6 7 C93XC93-S65 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 0 1 2 C93XC93-S65 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 17 18 0 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 14 15 16 C93XC93-S65 Hamiltonian number of vertices: 57 By formula Formula required C93XC93-S66 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C93XC93-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 Not Hamiltonian Formula required C93XC93-S68 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C93XC93-S68 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C93XC93-S68 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C93XC93-S68 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C93XC93-S68 Hamiltonian number of vertices: 21 By formula Formula required C93XC93-S68 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C93XC93-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C93XC93-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 C93XC93-S68 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 C93XC93-S68 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 0 1 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 3 4 5 6 7 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 11 12 C93XC93-S68 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 0 1 2 C93XC93-S68 Hamiltonian number of vertices: 72 By formula Formula required C93XC93-S70 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C93XC93-S70 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C93XC93-S70 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S70 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 3 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 C93XC93-S70 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 9 10 11 12 C93XC93-S70 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 0 1 2 C93XC93-S70 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 10 11 12 C93XC93-S70 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 4 C93XC93-S70 Hamiltonian number of vertices: 88 By formula Formula required C93XC93-S72 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C93XC93-S72 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C93XC93-S72 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S72 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 C93XC93-S72 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C93XC93-S72 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C93XC93-S72 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C93XC93-S72 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 5 6 0 1 7 8 9 10 11 12 13 C93XC93-S72 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S72 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C93XC93-S74 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C93XC93-S74 Hamiltonian number of vertices: 8 By formula Formula required C93XC93-S76 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S76 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 1 2 3 8 C93XC93-S76 Hamiltonian number of vertices: 48 By formula Formula required C93XC93-S77 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 1 0 2 3 C93XC93-S77 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 13 14 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C93XC93-S77 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C93XC93-S77 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 2 3 4 C93XC93-S77 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 C93XC93-S77 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 0 1 Not Hamiltonian Formula required C93XC93-S78 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C93XC93-S78 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 1 2 C93XC93-S78 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 Not Hamiltonian Formula required C93XC93-S78 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 0 1 2 3 4 5 6 7 8 9 10 11 12 C93XC93-S78 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C93XC93-S80 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C93XC93-S80 Hamiltonian number of vertices: 16 By formula Formula required C93XC93-S82 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C93XC93-S82 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 5 6 C93XC93-S82 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 0 1 2 Not Hamiltonian Formula required C93XC93-S83 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C93XC93-S83 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 0 1 2 C93XC93-S83 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 0 1 Not Hamiltonian Formula required C93XC93-S84 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C93XC93-S84 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 Not Hamiltonian Formula required C93XC93-S86 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 C93XC93-S86 Hamiltonian number of vertices: 28 By formula Formula required C93XC93-S87 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 2 3 C93XC93-S87 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 Not Hamiltonian Formula required C93XC93-S88 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 Not Hamiltonian Formula required C93XC93-S89 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C94XC94-S48 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian Formula required C94XC94-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 8 9 10 11 12 13 14 15 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 14 15 16 17 18 19 20 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 7 8 9 10 11 12 13 14 15 16 17 18 19 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 18 19 20 21 22 23 24 25 26 27 28 29 30 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 8 9 10 11 Not Hamiltonian Formula required C94XC94-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 8 9 10 11 12 13 14 15 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 14 15 16 17 18 19 20 21 22 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 20 21 22 23 24 25 26 27 28 29 30 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 26 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C94XC94-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C94XC94-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C94XC94-S51 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 C94XC94-S51 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian Formula required C94XC94-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 7 8 9 10 11 12 13 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 22 23 0 1 2 3 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 19 20 21 22 23 24 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 25 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 26 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 25 26 27 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 24 25 26 27 28 0 1 2 3 4 5 6 Not Hamiltonian Formula required C94XC94-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C94XC94-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C94XC94-S54 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 C94XC94-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 C94XC94-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C94XC94-S54 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian Formula required C94XC94-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 7 8 9 10 11 12 13 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian Formula required C94XC94-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 7 8 9 10 11 12 13 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 20 21 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 Not Hamiltonian Formula required C94XC94-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C94XC94-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C94XC94-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 C94XC94-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 C94XC94-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 C94XC94-S57 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 C94XC94-S57 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C94XC94-S59 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 4 5 6 7 0 1 2 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 Not Hamiltonian Formula required C94XC94-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C94XC94-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C94XC94-S60 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C94XC94-S60 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 C94XC94-S60 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C94XC94-S60 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 C94XC94-S60 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 10 11 12 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 18 19 20 0 1 2 3 4 5 6 7 8 9 C94XC94-S60 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 2 3 4 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 14 15 16 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 22 23 0 1 2 3 4 5 6 7 8 9 10 11 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 10 11 12 13 14 15 16 17 18 C94XC94-S60 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C94XC94-S61 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian Formula required C94XC94-S63 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C94XC94-S63 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C94XC94-S63 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 C94XC94-S63 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 C94XC94-S63 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 C94XC94-S63 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 18 0 1 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 15 16 17 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 4 5 6 7 8 9 C94XC94-S63 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 11 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 17 18 19 20 21 22 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 13 14 15 16 17 18 C94XC94-S63 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 9 10 11 12 C94XC94-S63 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 5 6 C94XC94-S63 Hamiltonian number of vertices: 87 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 3 Not Hamiltonian Formula required C94XC94-S63 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C94XC94-S65 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian Formula required C94XC94-S66 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C94XC94-S66 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C94XC94-S66 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 C94XC94-S66 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C94XC94-S66 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 C94XC94-S66 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian Formula required C94XC94-S67 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 0 1 13 Not Hamiltonian Formula required C94XC94-S69 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C94XC94-S69 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C94XC94-S69 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian Formula required C94XC94-S69 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 2 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 4 5 6 7 8 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 16 17 Not Hamiltonian Formula required C94XC94-S71 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 4 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 Not Hamiltonian Formula required C94XC94-S73 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 Not Hamiltonian Formula required C94XC94-S73 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C94XC94-S73 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 C94XC94-S73 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 5 6 0 1 2 7 8 9 10 11 12 13 C94XC94-S73 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 0 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 0 9 10 11 C94XC94-S73 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 0 1 2 10 Not Hamiltonian Formula required C94XC94-S75 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian Formula required C94XC94-S77 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 0 1 2 3 4 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 0 1 2 3 Not Hamiltonian Formula required C94XC94-S78 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian Formula required C94XC94-S78 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C94XC94-S78 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 10 C94XC94-S78 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 0 7 8 C94XC94-S78 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 1 2 3 C94XC94-S78 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 C94XC94-S78 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 Not Hamiltonian Formula required C94XC94-S79 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 0 1 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 Not Hamiltonian Formula required C94XC94-S79 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 1 0 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 0 3 4 5 6 7 8 9 10 11 C94XC94-S79 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian Formula required C94XC94-S81 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C94XC94-S83 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 0 1 2 5 Not Hamiltonian Formula required C94XC94-S84 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C94XC94-S84 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 0 1 2 3 C94XC94-S84 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 Not Hamiltonian Formula required C94XC94-S85 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 Not Hamiltonian Formula required C94XC94-S87 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 Not Hamiltonian Formula required C94XC94-S88 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 Not Hamiltonian Formula required C94XC94-S89 v = 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian Formula required C94XC94-S90 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 Not Hamiltonian Formula required C94XC94-S91 v = 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian Formula required C95XC95-S48 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C95XC95-S48 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C95XC95-S48 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C95XC95-S48 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C95XC95-S48 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 1 2 3 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S48 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 7 8 9 10 C95XC95-S48 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 C95XC95-S48 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30 31 32 33 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 29 30 31 32 33 34 35 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 C95XC95-S48 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 28 29 30 31 32 33 34 35 36 37 10 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 C95XC95-S48 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 22 23 24 C95XC95-S48 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S48 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C95XC95-S48 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S48 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 8 9 10 11 12 13 14 15 16 17 18 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 C95XC95-S48 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 17 18 19 20 21 22 23 24 25 26 C95XC95-S48 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S48 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 4 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 4 5 6 C95XC95-S48 Hamiltonian number of vertices: 88 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 2 C95XC95-S48 Hamiltonian number of vertices: 92 By formula Formula required C95XC95-S49 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C95XC95-S49 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C95XC95-S49 Hamiltonian number of vertices: 9 By formula Formula required C95XC95-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C95XC95-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C95XC95-S50 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 6 7 8 9 10 11 2 3 4 C95XC95-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 8 9 10 11 12 13 14 15 2 3 4 5 6 C95XC95-S50 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 C95XC95-S50 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 C95XC95-S50 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 C95XC95-S50 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S50 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 22 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 20 21 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 8 9 10 11 12 13 14 15 16 17 18 19 20 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 19 20 21 22 23 24 25 26 27 28 29 30 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 18 19 20 21 22 23 24 25 26 27 28 29 30 C95XC95-S50 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 C95XC95-S50 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 10 11 12 13 14 Not Hamiltonian Formula required C95XC95-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C95XC95-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C95XC95-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 0 1 2 3 6 7 8 9 10 11 4 C95XC95-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 8 9 10 11 12 13 14 15 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 C95XC95-S52 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 C95XC95-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 C95XC95-S52 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 C95XC95-S52 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 C95XC95-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 C95XC95-S52 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C95XC95-S52 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 22 23 24 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 20 21 22 23 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S52 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 23 24 25 26 27 28 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 22 23 24 25 26 27 28 29 0 1 2 3 4 C95XC95-S52 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 21 22 23 24 25 26 27 28 29 30 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 27 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 18 19 20 21 22 23 24 25 26 C95XC95-S52 Hamiltonian number of vertices: 68 By formula Formula required C95XC95-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C95XC95-S52 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C95XC95-S52 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 C95XC95-S52 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 C95XC95-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 C95XC95-S52 Hamiltonian number of vertices: 27 By formula Formula required C95XC95-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C95XC95-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 7 8 9 10 11 12 13 5 6 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 6 C95XC95-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 C95XC95-S54 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 C95XC95-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 C95XC95-S54 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 C95XC95-S54 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 C95XC95-S54 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 23 0 1 2 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S54 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 20 21 22 23 24 0 1 2 3 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 17 18 19 20 21 22 23 24 25 0 1 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C95XC95-S54 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 26 27 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian Formula required C95XC95-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C95XC95-S55 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C95XC95-S55 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 C95XC95-S55 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 C95XC95-S55 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 C95XC95-S55 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C95XC95-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 C95XC95-S55 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian Formula required C95XC95-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C95XC95-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C95XC95-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 4 5 0 1 6 7 8 C95XC95-S56 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 7 8 9 10 11 12 13 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C95XC95-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 10 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 C95XC95-S56 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 C95XC95-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C95XC95-S56 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 C95XC95-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C95XC95-S56 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 C95XC95-S56 Hamiltonian number of vertices: 44 By formula Formula required C95XC95-S58 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C95XC95-S58 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C95XC95-S58 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 7 8 9 10 11 12 13 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 2 3 4 5 6 7 0 1 8 9 10 11 12 C95XC95-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 C95XC95-S58 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 C95XC95-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 C95XC95-S58 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 C95XC95-S58 Hamiltonian number of vertices: 32 By formula Formula required C95XC95-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C95XC95-S58 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C95XC95-S58 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C95XC95-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 C95XC95-S58 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 C95XC95-S58 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 C95XC95-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 C95XC95-S58 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C95XC95-S58 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 C95XC95-S58 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 C95XC95-S58 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 C95XC95-S58 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 C95XC95-S58 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 C95XC95-S58 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C95XC95-S58 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S58 Hamiltonian number of vertices: 63 By formula Formula required C95XC95-S60 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C95XC95-S60 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C95XC95-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C95XC95-S60 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 4 5 6 7 0 1 2 3 8 9 10 C95XC95-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 Not Hamiltonian Formula required C95XC95-S61 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C95XC95-S61 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 C95XC95-S61 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 C95XC95-S61 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C95XC95-S61 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C95XC95-S61 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S61 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 C95XC95-S61 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 C95XC95-S61 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 C95XC95-S61 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 C95XC95-S61 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C95XC95-S61 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 19 20 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 0 1 2 3 4 5 6 C95XC95-S61 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 3 4 5 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 15 16 17 18 19 20 21 22 0 1 2 C95XC95-S61 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 23 0 1 2 3 4 5 6 7 8 9 10 11 12 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 20 21 22 C95XC95-S61 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 11 12 13 14 15 16 C95XC95-S61 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 7 8 9 10 11 12 13 C95XC95-S61 Hamiltonian number of vertices: 81 By formula Formula required C95XC95-S62 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C95XC95-S62 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian Formula required C95XC95-S64 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C95XC95-S64 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C95XC95-S64 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 C95XC95-S64 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S64 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 C95XC95-S64 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 C95XC95-S64 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 C95XC95-S64 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 4 5 6 7 8 9 C95XC95-S64 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 0 1 2 3 4 C95XC95-S64 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 0 1 2 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 15 16 17 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 C95XC95-S64 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 11 12 13 14 15 16 17 18 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 C95XC95-S64 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 11 12 13 14 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 18 19 20 21 22 0 1 2 C95XC95-S64 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 14 15 16 17 18 19 C95XC95-S64 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 C95XC95-S64 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 10 11 12 13 C95XC95-S64 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 6 7 C95XC95-S64 Hamiltonian number of vertices: 87 By formula Formula required C95XC95-S64 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C95XC95-S64 Hamiltonian number of vertices: 8 By formula Formula required C95XC95-S66 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C95XC95-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C95XC95-S66 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 C95XC95-S66 Hamiltonian number of vertices: 32 By formula Formula required C95XC95-S67 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C95XC95-S67 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C95XC95-S67 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C95XC95-S67 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 C95XC95-S67 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 C95XC95-S67 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 C95XC95-S67 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 C95XC95-S67 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 C95XC95-S67 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S67 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 2 3 4 C95XC95-S67 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 7 8 9 C95XC95-S67 Hamiltonian number of vertices: 51 By formula Formula required C95XC95-S68 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C95XC95-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C95XC95-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C95XC95-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 C95XC95-S68 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 0 1 2 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S68 Hamiltonian number of vertices: 56 By formula Formula required C95XC95-S70 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C95XC95-S70 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C95XC95-S70 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C95XC95-S70 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C95XC95-S70 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C95XC95-S70 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 C95XC95-S70 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 3 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 7 8 9 12 C95XC95-S70 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S70 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 9 10 11 12 13 14 C95XC95-S70 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 10 11 12 13 14 Not Hamiltonian Formula required C95XC95-S72 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C95XC95-S72 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C95XC95-S72 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C95XC95-S72 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C95XC95-S72 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 11 12 C95XC95-S72 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 5 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S72 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 C95XC95-S72 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 12 13 14 Not Hamiltonian Formula required C95XC95-S74 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C95XC95-S74 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C95XC95-S74 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 C95XC95-S74 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 C95XC95-S74 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 C95XC95-S74 Hamiltonian number of vertices: 40 By formula Formula required C95XC95-S74 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C95XC95-S74 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 2 0 1 C95XC95-S74 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 C95XC95-S74 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 5 6 0 1 2 3 7 8 9 10 11 12 13 C95XC95-S74 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 0 1 8 9 10 11 12 C95XC95-S74 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 0 1 9 10 11 C95XC95-S74 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 0 1 2 3 10 C95XC95-S74 Hamiltonian number of vertices: 50 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 8 9 10 0 1 2 3 4 5 6 C95XC95-S74 Hamiltonian number of vertices: 55 By formula Formula required C95XC95-S78 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S78 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 0 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 0 1 2 3 4 5 8 C95XC95-S78 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 1 2 3 4 C95XC95-S78 Hamiltonian number of vertices: 60 By formula Formula required C95XC95-S79 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian Formula required C95XC95-S79 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C95XC95-S79 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 C95XC95-S79 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 10 C95XC95-S79 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 7 8 9 C95XC95-S79 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 0 1 7 8 C95XC95-S79 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 4 5 6 C95XC95-S79 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 2 3 4 C95XC95-S79 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 C95XC95-S79 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 C95XC95-S79 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 C95XC95-S79 Hamiltonian number of vertices: 84 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 4 Not Hamiltonian Formula required C95XC95-S80 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C95XC95-S80 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S80 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 2 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 C95XC95-S80 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 Not Hamiltonian Formula required C95XC95-S80 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 0 1 2 3 4 5 6 7 8 9 10 11 12 C95XC95-S80 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 0 1 3 4 5 6 7 8 9 10 11 C95XC95-S80 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S80 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C95XC95-S82 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C95XC95-S82 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 5 6 7 8 C95XC95-S82 Hamiltonian number of vertices: 32 By formula Formula required C95XC95-S84 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C95XC95-S84 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 C95XC95-S84 Hamiltonian number of vertices: 32 By formula Formula required C95XC95-S85 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C95XC95-S85 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 0 3 4 5 6 C95XC95-S85 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 Not Hamiltonian Formula required C95XC95-S86 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C95XC95-S86 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 0 1 4 Not Hamiltonian Formula required C95XC95-S88 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 C95XC95-S88 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 C95XC95-S88 Hamiltonian number of vertices: 56 By formula Formula required C95XC95-S89 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian Formula required C95XC95-S91 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 0 C95XC95-S91 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 C95XC95-S91 Hamiltonian number of vertices: 72 By formula Formula required C95XC95-S92 v = 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 C95XC95-S92 Hamiltonian number of vertices: 64 By formula Formula required C96XC96-S49 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 31 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30 31 32 33 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 29 30 31 32 33 34 35 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 28 29 30 31 32 33 34 35 36 37 11 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 27 28 29 30 31 32 33 34 35 36 37 38 39 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 19 20 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 9 10 11 12 13 14 15 16 17 18 19 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 4 5 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 4 5 Not Hamiltonian Formula required C96XC96-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian Formula required C96XC96-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 6 7 8 9 10 11 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 8 9 10 11 12 13 14 15 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 19 20 21 22 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 9 10 11 12 13 14 15 16 17 18 19 20 21 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 20 21 22 23 24 25 26 27 28 29 30 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 28 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 17 Not Hamiltonian Formula required C96XC96-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 3 4 0 1 2 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 6 7 8 9 10 11 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 8 9 10 11 12 13 14 15 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 14 15 16 17 18 19 20 21 22 23 24 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 24 25 26 27 28 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 22 23 24 25 26 27 28 29 30 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian Formula required C96XC96-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C96XC96-S53 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C96XC96-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 Not Hamiltonian Formula required C96XC96-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 7 8 9 10 11 12 13 6 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 21 22 23 24 0 1 2 3 4 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 18 19 20 21 22 23 24 25 0 1 2 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 18 19 20 21 22 23 24 25 26 0 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C96XC96-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 1 2 3 4 0 C96XC96-S56 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 C96XC96-S56 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C96XC96-S56 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 C96XC96-S56 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C96XC96-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 5 6 7 8 9 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 7 8 9 10 11 12 13 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 10 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C96XC96-S59 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 5 6 7 8 9 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 7 8 9 10 11 12 13 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 22 23 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 Not Hamiltonian Formula required C96XC96-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 1 2 3 5 6 7 8 9 10 11 12 13 14 4 0 C96XC96-S59 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C96XC96-S59 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 C96XC96-S59 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 C96XC96-S59 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C96XC96-S61 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 6 7 8 9 10 11 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 5 6 7 0 1 2 3 4 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 6 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 Not Hamiltonian Formula required C96XC96-S62 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C96XC96-S62 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 2 3 4 0 1 5 6 7 8 9 10 11 12 13 C96XC96-S62 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 C96XC96-S62 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 C96XC96-S62 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 C96XC96-S62 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 C96XC96-S62 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 4 5 6 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 16 17 18 19 20 21 22 0 1 2 3 C96XC96-S62 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 8 9 10 11 12 13 14 C96XC96-S62 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 6 7 8 9 10 11 Not Hamiltonian Formula required C96XC96-S63 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C96XC96-S65 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 C96XC96-S65 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 C96XC96-S65 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 6 7 8 9 10 C96XC96-S65 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 1 2 3 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 14 15 16 17 18 0 C96XC96-S65 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 16 17 18 19 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 12 13 14 15 16 17 18 19 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 5 6 7 8 9 10 11 C96XC96-S65 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 19 20 21 22 0 1 2 3 C96XC96-S65 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 11 12 13 14 C96XC96-S65 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 Not Hamiltonian Formula required C96XC96-S65 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian Formula required C96XC96-S67 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C96XC96-S68 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 3 4 0 1 2 5 6 7 C96XC96-S68 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 C96XC96-S68 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C96XC96-S69 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 0 1 2 3 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian Formula required C96XC96-S71 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C96XC96-S71 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian Formula required C96XC96-S71 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 4 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 8 9 10 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 14 15 16 17 18 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 Not Hamiltonian Formula required C96XC96-S73 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 6 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 16 17 18 0 Not Hamiltonian Formula required C96XC96-S75 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian Formula required C96XC96-S75 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C96XC96-S75 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 5 6 0 1 2 3 4 7 8 9 10 11 12 13 C96XC96-S75 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 0 1 2 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 0 1 2 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 0 1 2 3 4 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 8 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 9 10 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 Not Hamiltonian Formula required C96XC96-S77 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian Formula required C96XC96-S79 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 0 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 0 1 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 0 1 2 3 4 5 6 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 Not Hamiltonian Formula required C96XC96-S80 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 C96XC96-S80 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 2 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 C96XC96-S80 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 5 Not Hamiltonian Formula required C96XC96-S81 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 3 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 Not Hamiltonian Formula required C96XC96-S81 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 1 0 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 0 5 6 7 8 9 C96XC96-S81 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 0 1 2 6 7 8 Not Hamiltonian Formula required C96XC96-S83 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 0 1 2 5 6 7 Not Hamiltonian Formula required C96XC96-S85 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 Not Hamiltonian Formula required C96XC96-S86 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 0 1 4 5 Not Hamiltonian Formula required C96XC96-S87 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 Not Hamiltonian Formula required C96XC96-S89 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 4 0 Not Hamiltonian Formula required C96XC96-S91 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian Formula required C96XC96-S92 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 Not Hamiltonian Formula required C96XC96-S93 v = 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 Not Hamiltonian Formula required C97XC97-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C97XC97-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 1 2 3 4 5 6 0 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 C97XC97-S50 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30 31 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 29 30 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 28 29 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 27 28 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 C97XC97-S50 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C97XC97-S50 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 10 11 12 13 14 15 16 17 18 19 20 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 19 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 C97XC97-S50 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 16 17 18 19 20 C97XC97-S50 Hamiltonian number of vertices: 76 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 8 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 4 5 6 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 6 7 8 C97XC97-S50 Hamiltonian number of vertices: 88 By formula Formula required C97XC97-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C97XC97-S51 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C97XC97-S51 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian Formula required C97XC97-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C97XC97-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C97XC97-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 6 7 8 9 10 11 4 5 0 C97XC97-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 8 9 10 11 12 13 14 15 4 5 6 7 0 C97XC97-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 C97XC97-S52 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 C97XC97-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 C97XC97-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 C97XC97-S52 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 C97XC97-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 C97XC97-S52 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C97XC97-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C97XC97-S52 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 22 23 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S52 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 10 11 12 13 14 15 16 17 18 19 20 21 22 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 C97XC97-S52 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 21 22 23 24 25 26 27 28 29 30 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 20 21 22 23 24 25 26 27 28 29 30 31 0 C97XC97-S52 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 29 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 18 19 20 21 22 23 24 25 26 27 28 C97XC97-S52 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 23 24 C97XC97-S52 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 23 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 14 15 16 17 18 19 20 C97XC97-S52 Hamiltonian number of vertices: 76 By formula Formula required C97XC97-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C97XC97-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C97XC97-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C97XC97-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 8 9 10 11 12 13 14 15 6 7 0 C97XC97-S54 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 C97XC97-S54 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 C97XC97-S54 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 C97XC97-S54 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C97XC97-S54 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 C97XC97-S54 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C97XC97-S54 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C97XC97-S54 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 22 23 24 25 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 25 26 27 28 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 24 25 26 27 28 29 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 23 24 25 26 27 28 29 30 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 22 23 24 25 26 27 28 29 30 31 0 C97XC97-S54 Hamiltonian number of vertices: 64 By formula Formula required C97XC97-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C97XC97-S54 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C97XC97-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C97XC97-S54 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 C97XC97-S54 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 C97XC97-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C97XC97-S54 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 6 C97XC97-S54 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 C97XC97-S54 Hamiltonian number of vertices: 33 By formula Formula required C97XC97-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C97XC97-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C97XC97-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 6 7 8 9 1 2 3 4 0 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 2 3 4 5 0 1 6 7 8 9 10 C97XC97-S56 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C97XC97-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 C97XC97-S56 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 C97XC97-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C97XC97-S56 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 C97XC97-S56 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 C97XC97-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 C97XC97-S56 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 C97XC97-S56 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C97XC97-S56 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 22 23 24 0 1 2 3 4 5 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 19 20 21 22 23 24 25 0 1 2 3 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian Formula required C97XC97-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C97XC97-S57 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C97XC97-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 2 3 4 0 1 C97XC97-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 C97XC97-S57 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 C97XC97-S57 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 C97XC97-S57 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 C97XC97-S57 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C97XC97-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 C97XC97-S57 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 C97XC97-S57 Hamiltonian number of vertices: 51 By formula Formula required C97XC97-S58 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C97XC97-S58 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 1 4 5 6 7 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 2 5 6 7 8 9 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 4 5 0 1 2 3 6 7 8 C97XC97-S58 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 7 8 9 10 11 12 13 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 C97XC97-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 10 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 C97XC97-S58 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 C97XC97-S58 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 C97XC97-S58 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 C97XC97-S58 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 C97XC97-S58 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian Formula required C97XC97-S60 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C97XC97-S60 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C97XC97-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 0 1 2 3 4 5 6 C97XC97-S60 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 7 8 9 10 11 12 13 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C97XC97-S60 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 C97XC97-S60 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 23 24 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 C97XC97-S60 Hamiltonian number of vertices: 28 By formula Formula required C97XC97-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C97XC97-S60 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C97XC97-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 C97XC97-S60 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S60 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 C97XC97-S60 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C97XC97-S60 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C97XC97-S60 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 C97XC97-S60 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 C97XC97-S60 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 C97XC97-S60 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 C97XC97-S60 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 C97XC97-S60 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S60 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S60 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 C97XC97-S60 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 5 6 7 8 9 10 11 12 13 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 14 15 16 17 18 19 20 21 22 0 1 2 3 4 C97XC97-S60 Hamiltonian number of vertices: 69 By formula Formula required C97XC97-S62 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C97XC97-S62 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 2 3 0 1 4 5 6 C97XC97-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 6 7 8 9 10 11 2 3 4 5 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 6 7 0 1 2 3 4 5 8 9 10 C97XC97-S62 Hamiltonian number of vertices: 16 By formula Formula required C97XC97-S63 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C97XC97-S63 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C97XC97-S63 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 3 0 1 2 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 3 4 0 1 2 5 6 7 8 9 10 11 12 13 C97XC97-S63 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 C97XC97-S63 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 C97XC97-S63 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C97XC97-S63 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 C97XC97-S63 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 C97XC97-S63 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 C97XC97-S63 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 C97XC97-S63 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C97XC97-S63 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S63 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S63 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 5 6 7 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 17 18 19 20 21 22 0 1 2 3 4 C97XC97-S63 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 10 11 12 13 14 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 0 C97XC97-S63 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 13 14 15 16 17 18 19 20 21 C97XC97-S63 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 17 18 C97XC97-S63 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 7 8 9 10 11 12 C97XC97-S63 Hamiltonian number of vertices: 84 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 5 6 7 8 9 C97XC97-S63 Hamiltonian number of vertices: 87 By formula Formula required C97XC97-S64 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C97XC97-S64 Hamiltonian number of vertices: 4 By formula Formula required C97XC97-S66 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C97XC97-S66 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C97XC97-S66 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 4 5 6 7 8 9 10 11 2 3 0 C97XC97-S66 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 1 2 3 4 0 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 C97XC97-S66 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C97XC97-S66 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 C97XC97-S66 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 C97XC97-S66 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 C97XC97-S66 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 C97XC97-S66 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C97XC97-S66 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 7 8 9 10 11 C97XC97-S66 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 1 2 3 4 5 6 C97XC97-S66 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 17 18 19 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S66 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 13 14 15 16 17 18 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 20 21 22 0 1 2 3 4 C97XC97-S66 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 18 19 20 21 22 23 0 C97XC97-S66 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 22 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 16 17 18 19 20 21 C97XC97-S66 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 14 15 16 17 18 C97XC97-S66 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 12 13 14 15 C97XC97-S66 Hamiltonian number of vertices: 81 By formula Formula required C97XC97-S66 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C97XC97-S66 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 2 3 0 1 4 5 6 7 8 9 10 C97XC97-S66 Hamiltonian number of vertices: 16 By formula Formula required C97XC97-S68 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C97XC97-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C97XC97-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C97XC97-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 C97XC97-S68 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 C97XC97-S68 Hamiltonian number of vertices: 40 By formula Formula required C97XC97-S69 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C97XC97-S69 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C97XC97-S69 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 C97XC97-S69 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 C97XC97-S69 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 C97XC97-S69 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 C97XC97-S69 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 C97XC97-S69 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 C97XC97-S69 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S69 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 5 6 C97XC97-S69 Hamiltonian number of vertices: 45 By formula Formula required C97XC97-S70 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C97XC97-S70 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 2 3 0 1 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C97XC97-S70 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 C97XC97-S70 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S70 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 C97XC97-S70 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 0 1 2 3 4 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S70 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 8 9 10 11 12 13 14 15 0 C97XC97-S70 Hamiltonian number of vertices: 64 By formula Formula required C97XC97-S72 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C97XC97-S72 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C97XC97-S72 Hamiltonian number of vertices: 9 By formula Formula required C97XC97-S72 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C97XC97-S72 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 C97XC97-S72 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C97XC97-S72 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S72 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 C97XC97-S72 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 5 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S72 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S72 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 15 0 C97XC97-S72 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 C97XC97-S72 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 15 16 17 18 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 12 13 14 15 16 C97XC97-S72 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 6 7 8 C97XC97-S72 Hamiltonian number of vertices: 88 By formula Formula required C97XC97-S74 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C97XC97-S74 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 C97XC97-S74 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S74 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 11 12 C97XC97-S74 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 5 6 7 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 0 C97XC97-S74 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 C97XC97-S74 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 15 0 C97XC97-S74 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 Not Hamiltonian Formula required C97XC97-S76 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C97XC97-S76 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 C97XC97-S76 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 C97XC97-S76 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 Not Hamiltonian Formula required C97XC97-S76 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C97XC97-S76 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C97XC97-S76 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 C97XC97-S76 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 C97XC97-S76 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 6 0 1 2 3 4 5 7 8 9 10 11 12 13 C97XC97-S76 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 0 1 2 3 8 9 10 11 12 C97XC97-S76 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 0 1 2 3 9 10 11 C97XC97-S76 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 0 1 2 3 4 5 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 9 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 10 0 1 2 3 4 5 6 7 8 C97XC97-S76 Hamiltonian number of vertices: 55 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 0 C97XC97-S76 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 11 12 0 1 2 3 4 5 Not Hamiltonian Formula required C97XC97-S78 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C97XC97-S78 Hamiltonian number of vertices: 12 By formula Formula required C97XC97-S80 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S80 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 0 1 6 7 8 9 10 C97XC97-S80 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 0 1 2 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 C97XC97-S80 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 0 C97XC97-S80 Hamiltonian number of vertices: 72 By formula Formula required C97XC97-S81 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C97XC97-S81 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S81 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 10 C97XC97-S81 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 9 C97XC97-S81 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 3 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 0 C97XC97-S81 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 C97XC97-S81 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 C97XC97-S81 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 7 8 C97XC97-S81 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 0 C97XC97-S81 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 11 12 C97XC97-S81 Hamiltonian number of vertices: 84 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 6 C97XC97-S81 Hamiltonian number of vertices: 90 By formula Formula required C97XC97-S82 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C97XC97-S82 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 0 C97XC97-S82 Hamiltonian number of vertices: 48 By formula Formula required C97XC97-S82 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 0 1 2 3 4 5 6 7 8 9 10 11 12 C97XC97-S82 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 0 3 4 5 6 7 8 9 10 11 C97XC97-S82 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 0 1 4 5 6 7 8 9 10 C97XC97-S82 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 0 1 5 6 7 8 9 C97XC97-S82 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 0 1 2 3 6 7 8 C97XC97-S82 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 5 6 0 1 2 3 4 7 C97XC97-S82 Hamiltonian number of vertices: 49 By formula Formula required C97XC97-S84 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C97XC97-S84 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 C97XC97-S84 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 0 1 2 3 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 C97XC97-S84 Hamiltonian number of vertices: 48 By formula Formula required C97XC97-S86 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 C97XC97-S86 Hamiltonian number of vertices: 16 By formula Formula required C97XC97-S87 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 1 0 2 3 4 5 6 7 C97XC97-S87 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 C97XC97-S87 Hamiltonian number of vertices: 27 By formula Formula required C97XC97-S88 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 C97XC97-S88 Hamiltonian number of vertices: 20 By formula Formula required C97XC97-S90 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 C97XC97-S90 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 0 C97XC97-S90 Hamiltonian number of vertices: 84 By formula Formula required C97XC97-S92 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 C97XC97-S92 Hamiltonian number of vertices: 40 By formula Formula required C97XC97-S93 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 0 C97XC97-S93 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 C97XC97-S93 Hamiltonian number of vertices: 72 By formula Formula required C97XC97-S94 v = 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 0 C97XC97-S94 Hamiltonian number of vertices: 64 By formula Formula required C98XC98-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 2 3 4 5 6 0 1 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 29 30 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 28 29 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 27 28 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 17 18 19 20 21 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 20 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 8 9 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 4 5 6 7 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 8 9 10 11 Not Hamiltonian Formula required C98XC98-S52 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C98XC98-S52 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian Formula required C98XC98-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 6 7 8 9 10 11 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 8 9 10 11 12 13 14 15 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 23 24 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 17 18 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 22 23 24 25 26 27 28 29 30 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 30 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 24 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C98XC98-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 0 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 6 0 1 2 3 4 5 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 8 9 10 11 12 13 14 15 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 20 21 22 23 24 25 0 1 2 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 17 18 19 20 21 22 23 24 25 26 0 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 14 15 16 17 18 19 20 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 26 27 28 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 25 26 27 28 29 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 24 25 26 27 28 29 30 0 1 2 3 4 Not Hamiltonian Formula required C98XC98-S55 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C98XC98-S55 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 C98XC98-S55 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 C98XC98-S55 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian Formula required C98XC98-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 2 3 4 0 1 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 7 8 9 10 11 12 13 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 23 24 0 1 2 3 4 5 6 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian Formula required C98XC98-S58 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C98XC98-S58 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 3 4 0 1 2 C98XC98-S58 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 C98XC98-S58 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 4 5 6 7 C98XC98-S58 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C98XC98-S58 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C98XC98-S58 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 C98XC98-S58 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 21 Not Hamiltonian Formula required C98XC98-S59 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 2 4 5 6 7 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 5 6 7 8 9 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 7 8 9 10 11 12 13 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 10 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 19 Not Hamiltonian Formula required C98XC98-S61 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 2 3 0 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 5 6 7 8 9 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 7 8 9 10 11 12 13 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 9 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C98XC98-S61 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C98XC98-S61 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 0 5 6 7 8 9 10 11 12 13 14 1 2 C98XC98-S61 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 3 4 5 0 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 1 2 3 4 7 8 C98XC98-S61 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 7 C98XC98-S61 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 C98XC98-S61 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 C98XC98-S61 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C98XC98-S61 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 6 7 8 9 10 11 12 13 14 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 15 16 17 18 19 20 21 22 0 1 2 3 4 5 C98XC98-S61 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 10 11 12 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian Formula required C98XC98-S63 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 7 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 6 7 8 9 10 11 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C98XC98-S64 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 4 0 1 2 3 5 6 7 8 9 10 11 12 13 C98XC98-S64 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C98XC98-S64 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 9 10 0 1 2 3 4 5 6 7 8 11 12 13 14 15 16 17 18 19 20 21 22 C98XC98-S64 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 0 1 2 3 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 12 0 1 2 3 4 5 6 7 8 9 10 11 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 0 1 2 3 4 5 6 7 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 C98XC98-S64 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 0 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 4 5 6 7 8 9 10 11 12 13 C98XC98-S64 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 17 18 19 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 6 7 8 9 10 11 12 13 14 15 16 17 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 18 19 20 21 22 0 1 2 3 4 5 C98XC98-S64 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 10 11 12 13 14 15 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 14 15 16 17 18 19 20 21 22 C98XC98-S64 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 10 11 12 13 14 15 16 C98XC98-S64 Hamiltonian number of vertices: 81 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 6 7 8 9 10 C98XC98-S64 Hamiltonian number of vertices: 87 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 4 5 6 7 Not Hamiltonian Formula required C98XC98-S65 v = 2 0 1 0 1 Not Hamiltonian Formula required C98XC98-S67 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 2 0 3 4 5 6 7 8 1 C98XC98-S67 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 4 5 6 7 8 9 10 11 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 18 19 20 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 4 5 6 7 8 0 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 C98XC98-S67 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 7 8 9 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 9 10 11 0 1 2 3 4 5 6 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 2 3 4 5 6 7 8 9 10 11 12 0 1 13 14 15 16 17 C98XC98-S67 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 0 1 2 3 4 5 6 7 8 9 10 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 16 0 1 2 3 4 5 6 7 8 9 10 11 12 C98XC98-S67 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 10 11 12 13 14 15 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 18 19 0 1 2 3 4 5 6 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 14 15 16 17 18 19 20 0 1 2 3 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 7 8 9 10 11 12 13 C98XC98-S67 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 11 12 13 14 15 16 17 18 19 20 21 0 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 21 22 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 19 20 21 22 23 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 23 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 17 18 19 20 21 22 C98XC98-S67 Hamiltonian number of vertices: 75 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 20 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 15 16 17 18 19 Not Hamiltonian Formula required C98XC98-S67 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 4 0 1 5 Not Hamiltonian Formula required C98XC98-S69 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 Not Hamiltonian Formula required C98XC98-S70 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 1 2 0 3 4 5 6 C98XC98-S70 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 C98XC98-S70 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2 3 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 C98XC98-S70 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 C98XC98-S70 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 C98XC98-S70 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C98XC98-S71 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 3 0 1 2 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 1 2 3 4 5 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 11 12 13 14 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 8 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C98XC98-S73 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C98XC98-S73 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 1 2 3 0 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 6 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 0 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 16 17 18 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 4 5 Not Hamiltonian Formula required C98XC98-S75 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 7 8 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 12 Not Hamiltonian Formula required C98XC98-S77 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 0 1 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C98XC98-S77 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 2 0 1 C98XC98-S77 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 0 1 2 3 4 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 0 1 2 3 4 9 10 11 C98XC98-S77 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 0 1 2 3 4 5 6 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 7 8 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 12 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 7 8 9 10 11 12 13 Not Hamiltonian Formula required C98XC98-S79 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C98XC98-S81 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 0 1 2 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 0 1 2 3 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 0 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 7 8 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 3 4 5 6 Not Hamiltonian Formula required C98XC98-S82 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 C98XC98-S82 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 8 C98XC98-S82 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 C98XC98-S82 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 C98XC98-S82 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 4 5 6 C98XC98-S82 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 Not Hamiltonian Formula required C98XC98-S83 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 Not Hamiltonian Formula required C98XC98-S83 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 1 0 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 2 0 1 3 4 5 6 7 8 9 10 11 C98XC98-S83 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 3 0 1 2 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 3 4 0 1 2 5 6 7 8 9 C98XC98-S83 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 0 1 2 3 4 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 6 0 1 2 3 4 5 7 C98XC98-S83 Hamiltonian number of vertices: 49 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 0 1 Not Hamiltonian Formula required C98XC98-S85 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 0 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 0 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 0 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 Not Hamiltonian Formula required C98XC98-S87 v = 8 0 1 2 3 4 5 6 7 2 3 4 5 6 7 0 1 Not Hamiltonian Formula required C98XC98-S88 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C98XC98-S89 v = 10 0 1 2 3 4 5 6 7 8 9 8 9 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C98XC98-S91 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 0 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 Not Hamiltonian Formula required C98XC98-S93 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 Not Hamiltonian Formula required C98XC98-S94 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 Not Hamiltonian Formula required C98XC98-S95 v = 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 Not Hamiltonian Formula required C99XC99-S50 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C99XC99-S50 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C99XC99-S50 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 0 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 4 5 6 7 0 1 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 9 10 11 12 13 14 15 16 17 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C99XC99-S50 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 11 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 8 9 10 11 12 13 0 C99XC99-S50 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 C99XC99-S50 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 32 33 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 31 32 33 34 35 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 30 31 32 33 34 35 36 37 12 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 29 30 31 32 33 34 35 36 37 38 39 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 20 21 22 23 24 25 26 27 28 C99XC99-S50 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 28 29 30 31 32 33 34 35 36 37 38 39 40 41 8 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 22 23 24 25 26 C99XC99-S50 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C99XC99-S50 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C99XC99-S50 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 20 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 C99XC99-S50 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 6 7 8 9 10 11 12 13 14 15 16 17 18 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C99XC99-S50 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 C99XC99-S50 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 12 13 14 15 16 17 18 19 20 21 22 C99XC99-S50 Hamiltonian number of vertices: 76 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 8 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 4 5 6 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 4 5 6 C99XC99-S50 Hamiltonian number of vertices: 92 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 0 1 2 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 2 Not Hamiltonian Formula required C99XC99-S50 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C99XC99-S52 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C99XC99-S52 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C99XC99-S52 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C99XC99-S52 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 C99XC99-S52 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 8 9 10 0 1 2 3 4 5 6 7 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 1 2 C99XC99-S52 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 20 21 22 23 24 25 26 27 10 11 12 13 0 C99XC99-S52 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 C99XC99-S52 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30 31 32 33 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 29 30 31 32 33 34 35 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 28 29 30 31 32 33 34 35 36 37 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 27 28 29 30 31 32 33 34 35 36 37 38 39 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 20 21 22 23 24 25 26 C99XC99-S52 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 23 24 C99XC99-S52 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 C99XC99-S52 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C99XC99-S52 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C99XC99-S52 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 20 21 22 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 20 21 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 C99XC99-S52 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 C99XC99-S52 Hamiltonian number of vertices: 64 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 18 19 20 21 22 23 24 25 26 27 28 29 30 C99XC99-S52 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 25 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 8 9 10 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 9 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 12 13 14 Not Hamiltonian Formula required C99XC99-S53 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C99XC99-S53 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C99XC99-S53 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian Formula required C99XC99-S54 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C99XC99-S54 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C99XC99-S54 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 8 9 10 11 12 13 14 15 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 C99XC99-S54 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 10 0 1 2 3 4 5 6 7 8 9 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 13 14 15 16 17 18 19 20 21 22 23 24 25 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 12 13 0 C99XC99-S54 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 20 21 22 23 24 C99XC99-S54 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 22 C99XC99-S54 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C99XC99-S54 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 24 25 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C99XC99-S54 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 20 21 22 23 24 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 23 24 25 26 27 28 29 30 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 22 23 24 25 26 27 28 29 30 31 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 22 23 24 25 26 27 28 29 30 31 32 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 31 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 20 21 22 23 24 25 26 27 28 29 30 C99XC99-S54 Hamiltonian number of vertices: 68 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 18 19 20 21 22 23 24 25 26 Not Hamiltonian Formula required C99XC99-S56 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C99XC99-S56 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C99XC99-S56 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 8 9 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 0 1 6 7 8 9 10 11 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C99XC99-S56 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 6 7 8 9 0 1 2 3 4 5 10 11 12 C99XC99-S56 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 0 1 2 C99XC99-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 C99XC99-S56 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 C99XC99-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 20 21 22 C99XC99-S56 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S56 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 C99XC99-S56 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 24 0 1 2 3 4 5 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 21 22 23 24 25 0 1 2 3 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 C99XC99-S56 Hamiltonian number of vertices: 52 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 18 19 20 21 22 23 24 25 26 0 1 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C99XC99-S56 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 27 28 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 26 27 28 29 0 1 2 3 4 5 6 7 8 C99XC99-S56 Hamiltonian number of vertices: 60 By formula Formula required C99XC99-S56 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C99XC99-S56 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C99XC99-S56 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C99XC99-S56 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S56 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 32 1 2 3 4 5 6 7 8 9 10 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 C99XC99-S56 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 C99XC99-S56 Hamiltonian number of vertices: 39 By formula Formula required C99XC99-S58 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C99XC99-S58 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 2 3 0 1 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 7 8 9 10 11 12 13 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 2 C99XC99-S58 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 4 5 6 7 8 0 1 2 3 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 8 9 0 1 2 3 4 5 6 7 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 11 12 13 14 15 16 17 18 19 20 21 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 13 14 15 16 17 18 19 20 21 22 23 24 25 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 2 3 4 5 6 7 8 9 10 11 12 13 0 1 14 15 16 17 18 19 20 21 22 23 24 25 26 C99XC99-S58 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 C99XC99-S58 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 18 19 20 21 22 C99XC99-S58 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S58 Hamiltonian number of vertices: 44 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C99XC99-S59 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C99XC99-S59 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 4 0 1 2 3 C99XC99-S59 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 2 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 1 2 C99XC99-S59 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 7 8 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C99XC99-S59 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 C99XC99-S59 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 C99XC99-S59 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 C99XC99-S59 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 19 20 21 C99XC99-S59 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 19 20 Not Hamiltonian Formula required C99XC99-S60 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C99XC99-S60 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C99XC99-S60 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 5 6 7 8 9 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 7 8 9 10 11 12 13 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C99XC99-S60 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 C99XC99-S60 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 Not Hamiltonian Formula required C99XC99-S62 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 0 1 2 C99XC99-S62 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 4 5 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 0 1 4 5 6 7 2 C99XC99-S62 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 5 6 7 8 9 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 2 3 4 5 0 1 6 C99XC99-S62 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 7 8 9 10 11 12 13 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 6 7 0 1 2 3 4 5 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 8 0 1 2 3 4 5 6 7 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 9 0 1 10 11 12 13 14 15 16 17 18 19 2 3 4 5 6 7 8 C99XC99-S62 Hamiltonian number of vertices: 20 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 2 Not Hamiltonian Formula required C99XC99-S62 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C99XC99-S62 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 2 3 0 1 4 5 6 7 8 C99XC99-S62 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 4 0 1 5 6 7 8 9 10 11 12 13 14 2 3 C99XC99-S62 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 3 4 5 0 1 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 2 3 4 5 7 8 C99XC99-S62 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 C99XC99-S62 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C99XC99-S62 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 9 10 11 0 1 12 13 14 15 16 17 18 19 20 21 22 23 24 C99XC99-S62 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 10 11 12 0 1 2 3 4 5 6 7 8 9 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 7 8 9 10 11 12 13 0 1 2 3 4 5 14 15 16 17 18 19 20 21 22 C99XC99-S62 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 15 16 17 18 19 20 21 C99XC99-S62 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 C99XC99-S62 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C99XC99-S62 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S62 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 7 8 9 10 11 12 13 14 15 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 16 17 18 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 14 15 16 17 18 19 20 21 22 23 0 1 2 C99XC99-S62 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 24 0 1 2 3 4 5 6 7 8 9 10 11 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C99XC99-S64 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 1 2 3 0 C99XC99-S64 Hamiltonian number of vertices: 4 By formula 0 1 2 3 4 5 0 3 4 5 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C99XC99-S64 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 6 7 8 9 10 11 4 5 0 1 2 C99XC99-S64 Hamiltonian number of vertices: 12 By formula Formula required C99XC99-S65 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C99XC99-S65 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 4 5 6 7 8 2 0 1 3 C99XC99-S65 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 3 0 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C99XC99-S65 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 5 0 1 2 3 4 6 7 8 9 C99XC99-S65 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 C99XC99-S65 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 C99XC99-S65 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 C99XC99-S65 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 10 0 1 2 3 4 5 6 7 8 9 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 0 1 2 3 4 12 13 14 15 16 17 18 19 20 21 C99XC99-S65 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 0 1 2 3 4 5 6 7 8 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 15 16 17 18 C99XC99-S65 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 16 17 C99XC99-S65 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C99XC99-S65 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 C99XC99-S65 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C99XC99-S65 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 1 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 20 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 21 0 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 7 8 9 10 11 12 13 14 15 16 17 18 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 19 20 21 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 16 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 21 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 13 14 15 16 17 18 19 20 C99XC99-S65 Hamiltonian number of vertices: 78 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 18 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 7 8 9 10 11 C99XC99-S65 Hamiltonian number of vertices: 87 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 3 4 5 Not Hamiltonian Formula required C99XC99-S68 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 0 1 2 3 4 C99XC99-S68 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 0 1 3 4 5 6 7 8 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 3 4 0 1 2 5 6 7 8 9 10 C99XC99-S68 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 2 3 4 5 0 1 6 C99XC99-S68 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5 6 0 C99XC99-S68 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C99XC99-S68 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 5 6 7 8 0 1 2 3 4 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 8 9 0 1 2 3 4 5 6 7 10 11 12 13 14 15 16 17 18 19 20 C99XC99-S68 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 C99XC99-S68 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 9 10 11 0 1 2 3 4 5 6 7 12 13 14 15 16 17 18 C99XC99-S68 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 3 4 5 6 7 8 9 10 11 12 0 1 2 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 12 13 0 1 2 3 4 5 6 7 8 9 10 11 14 15 16 C99XC99-S68 Hamiltonian number of vertices: 42 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 15 C99XC99-S68 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 0 1 2 3 4 5 6 7 8 9 10 11 12 13 C99XC99-S68 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 14 15 16 17 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 4 5 6 7 8 9 10 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 11 12 13 14 15 16 17 18 0 1 2 3 C99XC99-S68 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 19 0 1 2 3 4 5 6 7 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 8 9 10 11 12 13 14 15 16 17 18 C99XC99-S68 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 15 16 17 18 19 20 0 1 2 3 4 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 5 6 7 8 9 10 11 12 13 14 C99XC99-S68 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 11 12 13 14 15 16 17 18 19 20 21 0 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 22 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 20 21 22 23 0 1 2 C99XC99-S68 Hamiltonian number of vertices: 72 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 18 19 20 21 22 23 Not Hamiltonian Formula required C99XC99-S68 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C99XC99-S68 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S68 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 0 1 2 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 Not Hamiltonian Formula required C99XC99-S70 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C99XC99-S70 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 3 4 5 6 7 8 9 10 11 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 2 3 0 1 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 6 7 0 1 2 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 C99XC99-S70 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 7 8 0 1 2 3 4 5 6 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C99XC99-S70 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 4 5 6 7 8 9 10 0 1 2 3 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 10 11 0 1 2 3 4 5 6 7 8 9 12 13 14 15 16 C99XC99-S70 Hamiltonian number of vertices: 48 By formula Formula required C99XC99-S71 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 1 0 C99XC99-S71 Hamiltonian number of vertices: 6 By formula 0 1 2 3 4 5 6 7 8 7 8 2 0 1 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 1 2 3 4 0 5 6 7 C99XC99-S71 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 3 4 6 7 8 9 10 11 12 13 14 15 16 17 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 C99XC99-S71 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 C99XC99-S71 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 C99XC99-S71 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 C99XC99-S71 Hamiltonian number of vertices: 36 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 Not Hamiltonian Formula required C99XC99-S72 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 0 C99XC99-S72 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 C99XC99-S72 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C99XC99-S72 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 7 8 9 10 11 12 0 1 2 3 4 5 6 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 7 8 9 10 11 12 13 0 C99XC99-S72 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 12 13 14 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 8 9 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C99XC99-S74 v = 3 0 1 2 0 1 2 Not Hamiltonian Formula required C99XC99-S74 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 0 1 2 3 4 5 6 C99XC99-S74 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 10 11 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 2 3 0 1 4 C99XC99-S74 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 2 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 4 5 6 0 1 2 3 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 2 3 4 5 6 7 8 0 1 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 4 5 6 7 8 9 0 1 2 3 10 11 12 13 14 C99XC99-S74 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 8 9 10 0 1 2 3 4 5 6 7 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 0 1 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 8 9 10 11 12 13 0 C99XC99-S74 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 14 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 10 11 12 13 14 15 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 9 10 11 12 13 14 15 16 17 0 1 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 17 18 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 14 15 16 17 18 C99XC99-S74 Hamiltonian number of vertices: 80 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 2 Not Hamiltonian Formula required C99XC99-S76 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 0 1 2 3 4 C99XC99-S76 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 1 2 0 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 C99XC99-S76 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 1 2 3 4 0 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 4 5 0 1 2 3 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 0 1 2 3 8 9 10 11 12 13 14 C99XC99-S76 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 6 7 8 0 1 2 3 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 8 9 0 1 2 3 4 5 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 10 0 1 2 3 4 5 6 7 8 9 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 11 12 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 6 7 8 9 10 11 12 13 0 C99XC99-S76 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 12 13 14 15 0 1 2 C99XC99-S76 Hamiltonian number of vertices: 64 By formula Formula required C99XC99-S78 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 0 1 2 C99XC99-S78 Hamiltonian number of vertices: 8 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 2 C99XC99-S78 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C99XC99-S78 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 0 1 2 3 4 5 6 7 8 C99XC99-S78 Hamiltonian number of vertices: 10 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 2 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 3 4 0 1 2 5 6 7 8 9 10 11 12 13 14 15 C99XC99-S78 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 1 2 3 4 5 6 0 7 8 9 10 11 12 13 C99XC99-S78 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 6 7 0 1 2 3 4 5 8 9 10 11 12 C99XC99-S78 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 0 1 2 3 4 5 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 8 9 0 1 2 3 4 5 6 7 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 0 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 1 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 0 1 2 3 4 5 6 7 C99XC99-S78 Hamiltonian number of vertices: 65 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 1 2 3 4 5 6 7 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 8 9 10 11 12 13 0 C99XC99-S78 Hamiltonian number of vertices: 70 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 3 4 5 6 7 8 Not Hamiltonian Formula required C99XC99-S80 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 0 1 2 3 4 C99XC99-S80 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian Formula required C99XC99-S82 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 2 3 0 1 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 0 1 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 4 5 0 1 2 3 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 5 6 0 1 2 3 4 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 0 1 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 C99XC99-S82 Hamiltonian number of vertices: 60 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 12 0 1 2 3 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 1 2 3 4 5 6 7 8 9 10 11 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 0 Not Hamiltonian Formula required C99XC99-S83 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 1 0 C99XC99-S83 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 10 C99XC99-S83 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 0 1 2 C99XC99-S83 Hamiltonian number of vertices: 48 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 0 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 C99XC99-S83 Hamiltonian number of vertices: 78 By formula Formula required C99XC99-S84 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 3 4 5 6 7 8 9 10 11 0 C99XC99-S84 Hamiltonian number of vertices: 12 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S84 Hamiltonian number of vertices: 24 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C99XC99-S84 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 0 1 2 3 4 5 6 7 8 9 10 11 12 C99XC99-S84 Hamiltonian number of vertices: 14 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S84 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 4 0 1 2 3 5 6 7 8 9 C99XC99-S84 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 0 1 2 3 4 5 6 7 C99XC99-S84 Hamiltonian number of vertices: 49 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 5 6 7 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 Not Hamiltonian Formula required C99XC99-S86 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 C99XC99-S86 Hamiltonian number of vertices: 16 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 0 1 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 2 3 0 1 4 5 6 7 8 C99XC99-S86 Hamiltonian number of vertices: 32 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 0 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 0 1 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 3 4 5 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 6 7 0 1 2 C99XC99-S86 Hamiltonian number of vertices: 64 By formula Formula required C99XC99-S89 v = 9 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Not Hamiltonian Formula required C99XC99-S92 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 C99XC99-S92 Hamiltonian number of vertices: 28 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 2 0 1 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 1 2 C99XC99-S92 Hamiltonian number of vertices: 56 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 3 4 5 0 1 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 2 Not Hamiltonian Formula required C99XC99-S92 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian Formula required C99XC99-S94 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 C99XC99-S94 Hamiltonian number of vertices: 40 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 3 0 1 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 2 C99XC99-S94 Hamiltonian number of vertices: 80 By formula Formula required C99XC99-S95 v = 24 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 Not Hamiltonian Formula required C100XC100-S51 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 0 1 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 9 10 11 12 13 14 15 16 17 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 19 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 16 17 18 19 20 21 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 31 32 33 34 35 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 30 31 32 33 34 35 36 37 13 14 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 29 30 31 32 33 34 35 36 37 38 39 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 19 20 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 7 8 9 10 11 12 13 14 15 16 17 18 19 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 8 9 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 0 1 2 3 4 5 6 7 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 0 1 2 3 4 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 0 1 2 3 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 4 5 Not Hamiltonian Formula required C100XC100-S51 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian Formula required C100XC100-S53 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 6 7 8 9 10 11 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 12 13 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 8 9 10 11 12 13 14 15 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 14 15 16 17 18 19 20 21 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 12 13 14 15 16 17 18 19 20 21 22 23 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 31 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 29 30 31 32 33 34 35 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 28 29 30 31 32 33 34 35 36 37 15 16 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 22 23 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 24 25 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 19 20 21 22 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 22 23 24 25 26 27 28 29 30 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 21 22 23 24 25 26 27 28 29 30 31 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 20 21 22 23 24 25 26 27 28 29 30 31 32 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 19 20 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 26 27 28 29 30 31 32 33 34 35 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 0 1 2 3 4 5 6 7 8 9 10 11 12 13 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 0 1 2 3 4 5 6 7 8 9 10 11 12 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 0 1 2 3 4 5 6 7 8 9 10 11 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 12 13 14 15 16 17 Not Hamiltonian Formula required C100XC100-S54 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C100XC100-S54 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 18 19 20 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 C100XC100-S54 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 14 15 16 17 18 19 20 21 22 23 6 7 0 1 2 3 4 5 8 9 10 11 12 13 Not Hamiltonian Formula required C100XC100-S55 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 10 11 12 13 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 8 9 10 11 12 13 14 15 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 15 16 17 18 19 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 13 14 15 16 17 18 19 20 21 22 23 24 25 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 29 30 31 7 8 9 10 11 12 13 14 15 0 1 2 3 4 5 6 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 28 29 30 31 32 33 4 5 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 26 27 28 29 30 31 32 33 34 35 36 37 17 18 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 11 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 25 26 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 22 23 24 25 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 26 27 28 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 24 25 26 27 28 29 30 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 23 24 25 26 27 28 29 30 31 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 22 23 24 25 26 27 28 29 30 31 32 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 32 33 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 21 22 23 24 25 26 27 28 29 30 31 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian Formula required C100XC100-S57 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 8 9 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 0 1 2 6 7 8 9 10 11 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 8 9 10 11 12 13 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 13 14 15 16 17 18 19 7 8 9 0 1 2 3 4 5 6 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 11 12 13 14 15 16 17 18 19 20 21 2 3 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 28 29 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 27 28 29 30 31 9 10 11 12 13 14 15 0 1 2 3 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 26 27 28 29 30 31 32 33 6 7 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 24 25 26 27 28 29 30 31 32 33 34 35 36 37 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 8 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 0 1 2 3 4 5 6 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 22 23 24 25 0 1 2 3 4 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 0 1 2 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 16 17 18 19 20 21 22 23 24 25 26 27 0 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 28 0 1 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian Formula required C100XC100-S57 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C100XC100-S57 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C100XC100-S57 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 15 16 17 18 19 20 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 C100XC100-S57 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 4 5 6 7 0 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 3 4 5 6 7 8 0 C100XC100-S57 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 32 2 3 4 5 6 7 8 9 10 0 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 C100XC100-S57 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 30 31 32 33 34 35 36 37 38 5 6 7 8 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 C100XC100-S57 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 6 7 8 9 10 11 12 13 0 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Not Hamiltonian Formula required C100XC100-S59 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 6 7 8 9 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 11 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 7 8 9 10 11 12 13 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 5 6 7 8 0 1 2 3 4 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 11 12 13 14 15 16 17 18 19 9 0 1 2 3 4 5 6 7 8 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 11 12 13 14 15 16 17 18 19 20 21 4 5 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 13 14 15 16 17 18 19 20 21 22 23 24 25 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 27 3 4 5 6 7 8 9 10 11 12 13 0 1 2 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 26 27 28 29 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 25 26 27 28 29 30 31 11 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 24 25 26 27 28 29 30 31 32 33 8 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 16 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 8 9 10 11 12 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C100XC100-S60 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C100XC100-S60 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 4 5 6 0 1 2 3 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 6 7 8 0 C100XC100-S60 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 29 30 31 32 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 C100XC100-S60 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 27 28 29 30 31 32 33 34 35 36 37 38 8 9 10 11 12 0 1 2 3 4 5 6 7 13 14 15 16 17 18 19 20 21 22 23 24 25 26 C100XC100-S60 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 0 1 2 3 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 12 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 9 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian Formula required C100XC100-S61 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 0 4 5 6 7 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 5 6 7 8 9 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 7 8 9 10 11 12 13 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 15 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 7 8 0 1 2 3 4 5 6 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 8 9 10 11 0 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 9 10 11 12 0 1 2 3 4 5 6 7 8 13 14 15 16 17 18 19 20 21 22 23 24 25 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 25 26 27 5 6 7 8 9 10 11 12 13 0 1 2 3 4 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 23 24 25 26 27 28 29 30 31 13 14 15 0 1 2 3 4 5 6 7 8 9 10 11 12 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 22 23 24 25 26 27 28 29 30 31 32 33 10 11 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 17 18 19 20 21 Not Hamiltonian Formula required C100XC100-S63 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 3 1 0 2 Not Hamiltonian 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 0 1 2 4 5 6 7 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 5 6 7 8 9 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 7 8 9 10 11 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 2 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 10 11 12 13 14 15 16 17 18 19 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 8 9 10 0 Not Hamiltonian Formula required C100XC100-S63 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C100XC100-S63 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 9 10 11 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 5 6 7 8 9 10 11 12 13 14 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 3 4 5 0 1 2 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 9 10 11 12 13 14 15 16 17 18 19 20 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 0 C100XC100-S63 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 27 28 29 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 26 27 28 29 30 31 32 8 9 10 0 1 2 3 4 5 6 7 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 C100XC100-S63 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 9 10 11 0 1 2 12 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 11 12 0 1 2 3 4 5 6 7 8 9 10 13 14 15 16 17 18 19 20 21 22 23 C100XC100-S63 Hamiltonian number of vertices: 39 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 7 8 9 10 11 12 13 0 1 2 3 4 5 6 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 15 16 17 18 19 20 21 C100XC100-S63 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 12 13 14 15 16 0 1 2 3 4 5 6 7 8 9 10 11 17 18 19 C100XC100-S63 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 6 7 8 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 C100XC100-S63 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 C100XC100-S63 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 19 20 21 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 8 9 10 11 12 13 14 15 16 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 17 18 19 20 21 22 0 1 2 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 15 16 17 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 0 1 2 3 4 5 6 7 8 9 10 11 12 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 13 14 15 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian Formula required C100XC100-S65 v = 2 0 1 0 1 Not Hamiltonian 0 1 2 3 0 2 3 1 Not Hamiltonian 0 1 2 3 4 5 1 3 4 5 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C100XC100-S66 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 4 5 6 7 8 0 1 2 3 C100XC100-S66 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 2 3 0 1 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 14 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 6 7 0 1 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 25 26 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 C100XC100-S66 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 24 25 26 27 28 29 6 7 8 9 0 1 2 3 4 5 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 23 24 25 26 27 28 29 30 31 32 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 C100XC100-S66 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 22 23 24 25 26 27 28 29 30 31 32 33 34 35 6 7 8 9 10 11 0 1 2 3 4 5 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 1 2 3 4 5 6 7 8 9 10 11 12 0 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 0 1 2 3 4 5 6 7 8 9 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 15 16 17 18 C100XC100-S66 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C100XC100-S66 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 9 10 11 12 13 14 15 16 17 18 0 1 2 3 4 C100XC100-S66 Hamiltonian number of vertices: 57 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 8 9 10 11 12 13 14 15 16 17 18 19 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 20 21 22 0 1 2 3 4 5 6 7 C100XC100-S66 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 15 16 17 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 18 19 20 21 22 23 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 16 17 18 19 20 21 22 23 24 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 22 23 24 25 0 1 2 3 4 5 6 7 8 9 10 11 12 13 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 0 1 2 3 4 5 6 7 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 8 9 10 11 12 C100XC100-S66 Hamiltonian number of vertices: 87 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 0 1 2 3 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 4 5 6 C100XC100-S66 Hamiltonian number of vertices: 93 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 0 1 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 2 3 Not Hamiltonian Formula required C100XC100-S67 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian Formula required C100XC100-S69 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 5 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 0 C100XC100-S69 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 4 5 6 7 8 9 10 11 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 11 12 13 14 4 0 1 2 3 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 7 8 9 10 11 12 13 14 15 16 17 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 22 23 24 25 26 6 7 8 0 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 C100XC100-S69 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 21 22 23 24 25 26 27 28 29 9 0 1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 20 21 22 23 24 25 26 27 28 29 30 31 32 3 4 5 6 7 8 9 10 0 1 2 11 12 13 14 15 16 17 18 19 C100XC100-S69 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 9 10 11 0 1 2 3 4 5 6 7 8 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 4 5 6 7 8 9 10 11 12 0 1 2 3 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 13 0 1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 15 C100XC100-S69 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 15 16 0 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 1 2 3 4 5 6 7 8 9 10 11 12 13 14 C100XC100-S69 Hamiltonian number of vertices: 51 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 10 11 12 13 14 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 15 16 17 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 5 6 7 8 9 10 11 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 12 13 14 15 16 17 18 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 16 17 18 19 20 0 1 2 3 4 5 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 12 13 14 15 16 17 18 19 20 21 0 1 2 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 0 1 2 3 4 5 6 7 C100XC100-S69 Hamiltonian number of vertices: 69 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 21 22 23 0 1 2 3 Not Hamiltonian Formula required C100XC100-S69 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 4 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 0 1 2 3 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 24 25 26 27 6 0 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 Not Hamiltonian Formula required C100XC100-S71 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 3 4 5 6 7 8 9 10 11 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 9 10 11 12 13 14 15 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 22 23 24 25 26 27 1 2 3 4 5 6 0 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 21 22 23 24 25 26 27 28 29 30 31 7 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 8 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 2 3 4 5 6 7 8 9 0 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 5 6 7 8 9 10 0 1 2 3 4 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 11 0 1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 6 7 8 9 10 11 12 0 1 2 3 4 5 13 14 15 Not Hamiltonian Formula required C100XC100-S72 v = 3 0 1 2 0 1 2 Not Hamiltonian 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 7 8 0 1 2 3 4 5 6 C100XC100-S72 Hamiltonian number of vertices: 9 By formula 0 1 2 3 4 5 6 7 8 9 10 11 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 8 9 10 11 12 13 14 2 3 4 0 1 5 6 7 C100XC100-S72 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 2 3 4 5 6 0 1 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 19 20 21 22 23 24 25 26 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 C100XC100-S72 Hamiltonian number of vertices: 27 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 18 19 20 21 22 23 24 25 26 27 28 29 2 3 4 5 6 7 8 9 0 1 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 6 7 8 9 10 0 1 2 3 4 5 11 12 13 14 15 16 C100XC100-S72 Hamiltonian number of vertices: 33 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C100XC100-S73 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 0 2 3 4 5 6 7 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 8 9 10 11 12 13 14 15 1 2 3 0 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 21 22 23 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 20 21 22 23 24 25 26 27 3 4 5 6 0 1 2 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 19 20 21 22 23 24 25 26 27 28 29 30 31 1 2 3 4 5 6 7 0 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 1 2 3 4 5 6 7 8 0 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 0 1 2 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 7 8 9 10 0 1 2 3 4 5 6 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 1 2 3 4 5 6 7 8 9 10 11 0 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 8 9 10 11 12 0 1 2 3 4 5 6 7 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 13 14 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 9 10 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 0 1 2 3 4 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 17 0 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 5 6 7 8 9 10 11 12 13 14 15 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 16 17 18 0 1 2 3 4 Not Hamiltonian Formula required C100XC100-S75 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 7 1 0 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 10 11 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 5 6 7 8 9 10 11 12 13 14 15 3 0 1 2 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 19 20 21 22 23 3 4 5 0 1 2 6 7 8 9 10 11 12 13 14 15 16 17 18 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 18 19 20 21 22 23 24 25 26 27 5 6 0 1 2 3 4 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 4 5 6 7 0 1 2 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 3 4 5 6 7 8 0 1 2 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 5 6 7 8 9 0 1 2 3 4 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 9 10 0 1 2 3 4 5 6 7 8 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 8 9 10 11 0 1 2 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 10 11 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 7 8 9 10 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 11 12 13 14 15 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 15 16 0 1 2 3 4 5 6 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 10 11 12 13 14 15 16 17 0 1 2 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 5 6 7 8 9 10 11 12 13 14 15 16 17 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 18 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 15 16 17 18 19 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 16 17 18 19 20 0 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 12 13 14 15 16 17 18 19 20 21 0 1 2 3 4 5 6 7 8 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 0 1 2 3 4 5 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 3 Not Hamiltonian Formula required C100XC100-S77 v = 4 0 1 2 3 2 3 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 5 6 7 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 2 0 1 3 4 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 18 19 2 3 4 0 1 5 6 7 8 9 10 11 12 13 14 15 16 17 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 17 18 19 20 21 22 23 5 0 1 2 3 4 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 16 17 18 19 20 21 22 23 24 25 26 27 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 5 6 7 0 1 2 3 4 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 6 7 8 0 1 2 3 4 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 8 9 0 1 2 3 4 5 6 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 5 6 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 9 10 11 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 12 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 3 4 5 6 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 7 8 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 10 11 12 13 14 0 1 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C100XC100-S79 v = 4 0 1 2 3 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 3 4 5 6 7 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 6 7 8 9 10 11 1 2 0 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 16 17 18 19 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian Formula required C100XC100-S79 v = 5 0 1 2 3 4 0 1 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 9 1 0 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 3 4 5 6 7 8 9 10 11 12 13 14 1 2 0 C100XC100-S79 Hamiltonian number of vertices: 15 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 17 18 19 3 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 16 17 18 19 20 21 22 23 24 4 0 1 2 3 5 6 7 8 9 10 11 12 13 14 15 C100XC100-S79 Hamiltonian number of vertices: 25 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 5 0 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 2 3 4 5 6 0 1 7 8 9 10 11 12 13 C100XC100-S79 Hamiltonian number of vertices: 35 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 7 0 1 2 3 4 5 6 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 7 8 0 1 2 3 4 5 6 9 10 11 C100XC100-S79 Hamiltonian number of vertices: 45 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 9 0 1 2 3 4 5 6 7 8 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 1 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 2 3 4 5 6 7 8 9 10 0 C100XC100-S79 Hamiltonian number of vertices: 55 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 7 8 9 10 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 9 10 11 12 0 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 2 3 4 5 6 7 8 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 9 10 11 12 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 10 11 12 13 14 0 1 2 3 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 4 5 6 7 8 9 10 11 12 13 14 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 15 0 1 2 3 Not Hamiltonian Formula required C100XC100-S81 v = 6 0 1 2 3 4 5 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 5 6 7 8 9 10 11 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 11 12 13 14 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 2 3 4 0 5 6 7 8 9 10 11 12 13 Not Hamiltonian Formula required C100XC100-S83 v = 6 0 1 2 3 4 5 4 5 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 3 4 5 6 7 8 9 10 11 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 14 15 16 17 2 0 1 3 4 5 6 7 8 9 10 11 12 13 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 13 14 15 16 17 18 19 20 21 22 23 3 0 1 2 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3 4 0 1 2 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 5 0 1 2 3 4 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 6 0 1 2 3 4 5 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 6 7 0 1 2 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 2 3 4 5 6 7 8 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 6 7 8 9 10 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 11 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 9 10 11 12 0 1 2 3 4 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 13 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 10 11 12 13 14 0 1 2 3 4 5 6 7 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 8 9 Not Hamiltonian Formula required C100XC100-S84 v = 6 0 1 2 3 4 5 3 4 5 0 1 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 2 3 4 5 6 7 8 9 10 11 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 10 11 12 C100XC100-S84 Hamiltonian number of vertices: 18 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 4 0 1 2 3 5 6 7 8 9 10 C100XC100-S84 Hamiltonian number of vertices: 30 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 1 2 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 3 4 5 6 7 8 0 C100XC100-S84 Hamiltonian number of vertices: 54 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 0 1 2 3 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 1 2 3 4 5 6 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 7 8 9 10 0 C100XC100-S84 Hamiltonian number of vertices: 66 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 0 1 2 3 Not Hamiltonian Formula required C100XC100-S85 v = 6 0 1 2 3 4 5 2 3 4 5 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 0 2 3 4 5 6 7 8 9 10 11 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 12 13 14 15 16 17 1 2 0 3 4 5 6 7 8 9 10 11 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 11 12 13 14 15 16 17 18 19 20 21 22 23 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C100XC100-S85 v = 7 0 1 2 3 4 5 6 0 1 2 3 4 5 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 13 1 0 2 3 4 5 6 7 8 9 10 11 12 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 1 2 0 3 4 5 6 7 8 9 10 11 C100XC100-S85 Hamiltonian number of vertices: 21 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 2 3 0 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 1 2 3 4 5 0 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 1 2 3 4 5 6 0 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 4 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 1 2 3 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 4 5 6 7 8 0 C100XC100-S85 Hamiltonian number of vertices: 63 By formula 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 0 1 2 3 4 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 5 6 7 8 9 Not Hamiltonian Formula required C100XC100-S87 v = 8 0 1 2 3 4 5 6 7 4 5 6 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 11 12 13 14 15 1 0 2 3 4 5 6 7 8 9 10 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 10 11 12 13 14 15 16 17 18 19 20 21 22 23 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 3 0 1 2 4 5 6 7 8 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 2 3 4 0 1 5 6 7 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 3 4 5 0 1 2 6 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 2 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 3 4 5 6 0 1 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 4 5 6 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 7 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 1 2 3 4 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 6 7 8 0 Not Hamiltonian Formula required C100XC100-S89 v = 10 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 Not Hamiltonian Formula required C100XC100-S91 v = 12 0 1 2 3 4 5 6 7 8 9 10 11 8 9 10 11 0 1 2 3 4 5 6 7 Not Hamiltonian Formula required C100XC100-S93 v = 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 6 7 8 9 10 11 12 13 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 1 0 2 3 4 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 0 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 0 1 2 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 3 4 Not Hamiltonian Formula required C100XC100-S93 v = 15 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 1 0 2 3 4 Not Hamiltonian Formula required C100XC100-S95 v = 20 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 1 2 3 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 1 0 2 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 1 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 2 0 Not Hamiltonian 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 0 1 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 3 Not Hamiltonian Formula required C100XC100-S97 v = 34 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 0 1 Not Hamiltonian