A307957
Number of planar graphs of order n with exactly one Hamiltonian cycle.
Original entry on oeis.org
0, 0, 1, 2, 3, 12, 49, 460, 4994, 68234, 997486, 15582567, 253005521, 4250680376, 73293572869, 1293638724177
Offset: 1
A374314
Number of graphs of order n with exactly two Hamiltonian cycles.
Original entry on oeis.org
0, 0, 0, 2, 11, 75, 740, 10692, 229068, 7005022, 305866545, 18868736922
Offset: 2
A374315
Number of graphs of order n with exactly three Hamiltonian cycles.
Original entry on oeis.org
0, 0, 1, 0, 3, 17, 283, 5069, 132345, 4451059, 209875768, 13364007134
Offset: 2
A374316
Number of graphs of order n with at least four Hamiltonian cycles.
Original entry on oeis.org
0, 0, 0, 3, 22, 242, 4691, 154942, 8808453, 867760434, 151839645047, 48280546012319
Offset: 2
A374312
Number of graphs of order n with exactly one Hamiltonian cycle of girth at least 4.
Original entry on oeis.org
0, 1, 1, 2, 3, 11, 38, 250, 2171, 25518, 388854, 7283110, 171355621, 4915591680, 174203813967, 7526329299531
Offset: 3
A374313
Number of graphs of order n with exactly one Hamiltonian cycle of girth at least 5.
Original entry on oeis.org
0, 0, 1, 1, 1, 3, 4, 10, 32, 167, 899, 6470, 55815, 549981, 6155795, 78520177, 1123544810, 18005054988, 322434738089, 6427598615569
Offset: 3
Showing 1-6 of 6 results.