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报告题目：Isomorphisms of Generalized Cayley Graphs
报 告 人：刘伟俊 教授 （中南大学）
报告时间：2016年6月03日（星期五）下午 4:30-5:30
报告地点：4号楼4318室

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                                                                          数学学院
                                                                   2016年06月02日
报告摘要：
    We investigate the isomorphism problem of generalized Cayley graphs, which is a generalization of the usual Cayley graphs. We find there are two types of natural isomorphism of generalized Cayley graphs. We also study the GCI-groups with respect to generalized Cayley graphs and the Cayley regression of some groups. One of the main results we show is that cyclic groups of even order are GCI-groups if and only if $G=Z_4$ or $Z_6$. We also show that the cyclic group of order $2^n$ is a $4$-quasi-Cayley regression if and only if $n=3$.