报告题目:Isomorphismsof 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 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 $n=3$.