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A007083 Number of unlabeled trivalent 3-connected bipartite planar graphs with 2n nodes.
(Formerly M0372)
21
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 (list; graph; refs; listen; history; text; internal format)
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
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
KEYWORD
nonn
AUTHOR
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

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)