A note on the automorphism groups of cubic Cayley graphs of finite simple groups |
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| Authors: | Cui Zhang Xin Gui Fang |
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| Institution: | a University of Primorska, FAMNIT, Glagoljaška 8, 6000 Koper, Sloveniab University of Primorska, PINT, Muzejski trg 2, 6000 Koper, Sloveniac LMAM & School of Mathematical Sciences, Peking University, Beijing 100871, PR China |
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| Abstract: | For a finite group G, a Cayley graph  on G is said to be normal if  . 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. |
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| Keywords: | Normal Cayley graph Non-symmetric graph Automorphism group Finite simple group |
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