There exists no tetravalent half-arc-transitive graph of order 2p2

doi:10.1016/j.disc.2009.11.020

Discrete Mathematics

Volume 310, Issue 12, 28 June 2010, Pages 1721-1724

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Abstract

A graph is half-arc-transitive if its automorphism group acts transitively on its vertex set, edge set, but not arc set. In this paper, we show that there is no tetravalent half-arc-transitive graph of order $2 p^{2}$ .

Keywords

Cayley graph

Vertex-transitive graph

Edge-transitive graph

Half-arc-transitive graph