Elsevier

Discrete Mathematics

Volume 313, Issue 18, 28 September 2013, Pages 1763-1766
Discrete Mathematics

Note
A note on connected cubic Cayley graphs

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Abstract

Let Γ=Cay(G,S) be a connected cubic Cayley graph, and let X=AutΓ be the automorphism group of Γ. It is proved in this note that either G has non-trivial core xXGx in X, or the stabilizer Xu of a vertex u of Γ is non-abelian.

Keywords

Cayley graph
Automorphism group
Stabilizer

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This work was partially supported by NNSF of China (Grant No. 11271267).