A007083 Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes. (Formerly M0372)

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

2,7

Comments

Also the number of species of spherical Latin bi-trades of size n. - Ian Wanless, Oct 08 2007

References

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Table of n, a(n) for n=2..33.

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.

Sequence in context: A162959 A354830 A158302 * A281019 A325513 A144060

Adjacent sequences: A007080 A007081 A007082 * A007084 A007085 A007086

Keyword

nonn

Author

N. J. A. Sloane, Mira Bernstein

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

Status

approved