2p2阶3度Cayley图

摘要

A Cayley (di)graph Cay(G, S) on a finite group G is said to be normal if the acting group of G by right multiplication is normal in the full automorphism group of Cay(G, S). In this paper we determine the normality of cubic Cayley graphs of order 2p2 for each prime p. As an application, a classification of s-regular cubic Cayley graphs of order 2p2 is given for each 1 ≤ s ≤ 5 and each prime p.%Cayley图Cay(G,S)称之为正规的,如果G的右正则表示是Cay(G,S)全自同构群的正规子群.本文决定了2p2(p为素数)阶群上3度连通Cayley图的正规性.作为该结果的一个应用,对每一个1≤s≤5,对2p2阶3度s-正则Cayley图作了分类.