Discussed in this paper are a class of imprimitive arc-transitive connected Cayley Graphs on Z p × Zp. We prove that, up to a graph isomorphism, there is only one such graph, that is G ( p, r ) [ pK1 ]. 对Zp×Zp上的一类弧传递非本原连通Cayley图进行了讨论,证明了这类图的不同构类型只有一个,即G(p,r)[pK1]。
When regarding the isomorphism problem of the Cayley graph, it can be divided into two aspects : the first aspect explores when the Cayley graphs within a group are isomorphic; Cayley图的自同构问题分为两方面:一方面是探索一个群的Cayley图何时同构;
Enumeration of Isomorphism Types of Cayley Graphs of Small Valencies on Dihedral Groups 二面体群的小度数Cayley图的同构类的计数
Isomorphism problems of two classes of Cayley Digraphs 两类Cayley有向图的同构问题
Isomorphism Decomposition of Cayley Graph and Necessary and Sufficient Condition of Weak DCI Subset Cayley图的同构分解及弱DCI-子集的充要条件