Copyright © 2007 Elsevier Ltd All rights reserved.
Finite 2-arc-transitive abelian Cayley graphs
Received 23 February 2005;
revised 29 September 2005;
accepted 5 December 2006.
Available online 30 December 2006.
Abstract
Let Γ be a finite 2-arc-transitive Cayley graph of an abelian group. It is shown that either Γ is explicitly known, or Γ 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: where n is even but is not a 2-power, Γ has 2-power number of vertices, or Γ is a circulant.






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