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A286280 Number of connected arc-transitive graphs of order n. 2
1, 1, 2, 2, 4, 2, 5, 4, 8, 2, 11, 4, 8, 10, 15, 4, 14, 3, 22, 13, 8, 2, 34, 11, 13, 20, 26, 4, 41 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

COMMENTS

Care is needed with "symmetric" terminology, which is variously used to mean both arc-transitive and both vertex- and edge-transitive.

The first known difference from A133181 (connected vertex- and edge-transitive graphs on n vertices) occurs at a(27), corresponding to the Doyle graph (which is both edge- and vertex-transitive but not arc-transitive). - Eric W. Weisstein, May 13 2017

LINKS

Table of n, a(n) for n=2..30.

Marston Conder, Home Page (Contains tables of regular maps, hypermaps and polytopes, trivalent symmetric graphs, and surface actions)

Marston Conder, Connected symmetric (arc-transitive) graphs of order 2 to 30

Eric Weisstein's World of Mathematics, Arc-Transitive Graph

Eric Weisstein's World of Mathematics, Doyle Graph

Eric Weisstein's World of Mathematics, Edge-Transitive Graph

Eric Weisstein's World of Mathematics, Symmetric Graph

Eric Weisstein's World of Mathematics, Vertex-Transitive Graph

CROSSREFS

Cf. A133181 (number of connected vertex- and edge-transitive graphs on n vertices).

Cf. A180240 (number of arc-transitive simple graphs on n nodes).

Sequence in context: A241814 A088371 A133181 * A290088 A179013 A090397

Adjacent sequences:  A286277 A286278 A286279 * A286281 A286282 A286283

KEYWORD

nonn,more

AUTHOR

N. J. A. Sloane, May 08 2017

STATUS

approved

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Last modified August 8 08:27 EDT 2020. Contains 336293 sequences. (Running on oeis4.)