A007083 Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.
0, 0, 1, 0, 1, 1, 2, 2, 8, 8, 32, 57, 185, 466, 1543, 4583, 15374, 50116, 171168, 582603, 2024119, 7057472, 24873248, 88111772, 314301078, 1126716000, 4060375677, 14697571234, 53432834170, 195015189626, 714404259151, 2626130395699
Offset: 2
Keywords
References
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- G. Brinkmann, and B.D. McKay, Fast generation of planar graphs, MATCH Commun. Math. Comput. Chem., 58 (2007) 323-357 [From Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010]
- G. Brinkmann, and B.D. McKay, Guide to using plantri (version 4.1).
- Gunnar Brinkmann and Brendan McKay, Guide to using plantri [Cached copy, with permission]
- N. Cavenagh and P. Lisonek, Planar Eulerian triangulations are equivalent to spherical latin bitrades, J. Combin. Theory Ser. A 115 (2008), no. 1, 193-197.
- CombOS - Combinatorial Object Server, generate planar graphs
- A. Drapal, C. Hamalainen and D. Rosendorf, An enumeration of spherical latin bitrades, arXiv 0907.1376 [math.CO], Sep 16 2009.
- D. A. Holton et al., Hamiltonian cycles in cubic 3-connected bipartite planar graphs, J. Combin. Theory, B 38 (1985), 279-297.
- I. Sciriha and P. W. Fowler, Nonbonding Orbitals in Fullerenes: Nuts and Cores in Singular Polyhedral Graphs, J. Chem. Inf. Model., 47, 5, 1763 - 1775, 2007.
- I. M. Wanless, A computer enumeration of small latin trades, Australas. J. Combin. 39, (2007) 247-258.
Crossrefs
Cf. A169955.
Extensions
Description and initial terms corrected by Gordon F. Royle, Feb 15 1999
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 07 2010
Comments