A note on the automorphism groups of cubic Cayley graphs of finite simple groups

摘要

For a finite group G, a Cayley graph Γ = Cay (G, S) on G is said to be normal if G_R ? Aut Γ. In this note, we prove that connected cubic non-symmetric Cayley graphs of the ten finite non-abelian simple groups G in the list of non-normal candidates given in [X.G. Fang, C.H.Li, J. Wang, M.Y. Xu, On cubic Cayley graphs of finite simple groups, Discrete Math. 244 (2002) 67-75] are normal.