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Vertex-transitive graphs that are not Cayley graphs. II

✍ Scribed by McKay, Brendan D.; Praeger, Cheryl E.

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
881 KB
Volume
22
Category
Article
ISSN
0364-9024

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✦ Synopsis

The Petersen graph on 10 vertices is the smallest example of a vertex-transitive graph that is not a Cayley graph. In 1983, D. MaruSiE asked, "For what values of n does there exist such a graph on n vertices?" We give several new constructions of families of vertex-transitive graphs that are not Cayley graphs and complete the proof that, if n is divisible byp2 for some primep, then there is a vertex-transitive graph on n vertices that is not a Cayley graph unless n is p 2 , p 3 , or 12.

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