Finite 2-arc-transitive abelian Cayley graphs

Authors:
Cai Heng Li;Jiangmin Pan
Affiliations:
Department of Mathematics, Yunnan University, Kunming 650031, PR China and School of Mathematics and Statistics, The University of Western Australia, Crawly, WA 6009, Australia;Department of Mathematics, Yunnan University, Kunming 650031, PR China
Venue:
European Journal of Combinatorics
Year:
2008

Citing 5
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On finite affine 2-arc transitive graphs

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Abstract

Let @C be a finite 2-arc-transitive Cayley graph of an abelian group. It is shown that either @C is explicitly known, or @C may be represented as a normal or bi-normal Cayley graph of an abelian or a meta-abelian 2-group. In particular, one of three cases occurs: @C=K"n","n-nK"2 where n is even but is not a 2-power, @C has 2-power number of vertices, or @C is a circulant.