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发布时间:2017-04-12文章来源:浏览次数:64

目:Isomorphismsof Generalized Cayley Graphs
人:刘教授(中南大学)
时间2016603日(星期五)下午4:30-5:30
告地点:4号楼4318

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                                                                         数学学院
                                                                  20160602
告摘要:
   We investigate the isomorphism problem of generalized Cayley graphs,which is a generalization of the usual Cayley graphs. We find thereare two types of natural isomorphism of generalized Cayley graphs. Wealso study the GCI-groups with respect to generalized Cayley graphsand the Cayley regression of some groups. One of the main results weshow is that cyclic groups of even order are GCI-groups if and onlyif $G=Z_4$ or $Z_6$. We also show that the cyclic group of order$2^n$ is a $4$-quasi-Cayley regression if and only if $n=3$.