A292408
Number of 3-regular maps with 2n vertices on the torus, up to orientation-preserving isomorphisms.
Original entry on oeis.org
1, 5, 46, 669, 11096, 196888, 3596104, 66867564, 1258801076, 23925376862, 458284630844, 8835496339452, 171286387714900, 3336406717216564, 65257828878990784, 1281049596756607960, 25228921286295314736, 498287389997552607290, 9866927329534881618772, 195837489338961245840240
Offset: 1
- E. Krasko, A. Omelchenko, Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps, arXiv preprint arXiv:1709.03225[math.CO], 2017.
- E. Krasko, A. Omelchenko, Enumeration of r-regular maps on the torus. Part I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 584-599.
- Riccardo Murri, Fatgraph algorithms and the homology of the Kontsevich complex, arXiv preprint arXiv:1202.1820, 2012.
3-regular maps on the sphere:
A112948.
A292972
Number of 5-regular maps with 2n vertices on the torus, up to orientation-preserving isomorphisms.
Original entry on oeis.org
15, 6423, 4031952, 2839677570, 2111005408320, 1624203259187196, 1280171373413389056, 1027235174396893007472, 835745211680299639976976, 687471000510964612782875472
Offset: 1
- E. Krasko, A. Omelchenko, Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps, arXiv preprint arXiv:1709.03225 [math.CO], 2017.
- E. Krasko, A. Omelchenko, Enumeration of r-regular maps on the torus. Part I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 584-599.
A292468
Number of 4-regular maps with n vertices on the torus, up to orientation-preserving and orientation-reversing isomorphisms.
Original entry on oeis.org
1, 4, 20, 133, 1013, 9209, 89889, 929373, 9880120, 107087360, 1174950951, 13008800489, 145024885270, 1625819872988, 18311555574347, 207068032188985, 2349706730746994, 26745505016101977, 305267158873891108, 3492857897924201864
Offset: 1
- E. Krasko and A. Omelchenko, Enumeration of r-regular Maps on the Torus. Part II: Enumeration of Unsensed Maps, arXiv preprint arXiv:1709.03230 [math.CO], 2017. See Table 1, p. 20.
- E. Krasko and A. Omelchenko, Enumeration of r-regular maps on the torus. Part II: Unsensed maps, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 600-614.
A292974
Number of 6-regular maps with n vertices on the torus, up to orientation-preserving isomorphisms.
Original entry on oeis.org
3, 81, 3313, 171282, 9444158, 541659909, 31819176850, 1902508129720, 115307287484560, 7064528615347192, 436658221692698200, 27188662712300575980, 1703444238720524912060
Offset: 1
- E. Krasko, A. Omelchenko, Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps, arXiv preprint arXiv:1709.03225 [math.CO], 2017.
- E. Krasko, A. Omelchenko, Enumeration of r-regular maps on the torus. Part I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 584-599.
Showing 1-4 of 4 results.