Title: Isomorphisms of Generalized Cayley Graphs

Time: Fri, June 03, 2016, PM 4:30-5:30

Speaker:Prof. Weijun Liu （ Central South University）

Location:Room 4318, Building No.4, Wushan Campus

Abstract: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 $n=3$.