Fan, Xinman; Gao, Xing; Yang, Dong On vertex-transitive Cayley graphs of completely simple periodic semigroups. (Chinese. English summary) Zbl 1289.05202 J. Lanzhou Univ., Nat. Sci. 48, No. 6, 102-104 (2012). Summary: Vertex-transitive properties of Cayley graphs of completely simple periodic semigroups are characterized. Necessary and sufficient conditions are obtained respectively for Cayley graphs of completely simple periodic semigroups to be \(\text{ColAut}_S(G)\)-vertex transitive, \(\text{End}_S(G)\)-vertex transitive and \(\text{ColEnd}_S(G)\)-vertex transitive. MSC: 05C25 Graphs and abstract algebra (groups, rings, fields, etc.) Keywords:Cayley graph; completely simple periodic semigroup; vertex-transitive PDF BibTeX XML Cite \textit{X. Fan} et al., J. Lanzhou Univ., Nat. Sci. 48, No. 6, 102--104 (2012; Zbl 1289.05202)