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On vertex-transitive Cayley graphs of completely simple periodic semigroups. (Chinese. English summary) Zbl 1289.05202
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.)