

A032355


Number of connected transitive trivalent (or cubic) graphs with 2n nodes.


7



1, 2, 2, 3, 4, 3, 4, 5, 7, 3, 11, 5, 6, 10, 10, 5, 12, 5, 12, 10, 7, 5, 32, 9, 10, 13, 16, 7, 38, 7, 26, 11, 12, 11, 37, 9, 11, 14, 33, 9, 30, 9, 17, 21, 13, 9, 90, 13, 25, 16, 22, 11, 42, 19, 38, 18, 18, 11, 105, 13, 17, 26, 83, 19, 35, 13, 28, 19, 35, 13, 124, 15, 22, 28, 27, 19, 46, 15, 104, 43, 24, 15, 99, 23, 23, 23, 45, 17, 80, 25, 31, 26, 25, 23, 274, 19, 35, 31, 61, 19
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OFFSET

2,2


COMMENTS

Read and Wilson give counts of connected transitive graphs. Gordon Royle states that there are 17 transitive 32node graphs. Read and Wilson state that 10 of them are connected.  Richard Sabey, Oct 11 2012


REFERENCES

R. C. Read and R. J. Wilson, An Atlas of Graphs, Oxford, 1998.


LINKS

N. J. A. Sloane, Table of n, a(n) for n = 2..640, taken from the work of Primož Potočnik, Pablo Spiga and Gabriel Verret.
Primož Potočnik, Pablo Spiga and Gabriel Verret, A census of small connected cubic vertextransitive graphs
Gordon Royle, There are 677402 vertextransitive graphs on 32 vertices
G. Royle, Cubic transitive graphs
Eric Weisstein's World of Mathematics, Cubic VertexTransitive Graph


CROSSREFS

Cf. A005638, A002851.
Sequence in context: A132919 A162619 A259196 * A308597 A205153 A300302
Adjacent sequences: A032352 A032353 A032354 * A032356 A032357 A032358


KEYWORD

nonn,nice


AUTHOR

R. C. Read (rcread(AT)math.uwaterloo.ca)


EXTENSIONS

"Connected" added by Richard Sabey, Oct 11 2012
Link provided that, in principle, gives values up to n=640. Extended to n=30 from that link by Allan C. Wechsler, Apr 18 2014
Extended to 640 from same source by N. J. A. Sloane, Apr 19 2014


STATUS

approved



