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A classification of vertex-transitive Cayley digraphs of strong semilattices of completely simple semigroups
Authors:Shou-feng Wang  Di Zhang
Institution:1. School of Mathematics, Yunnan Normal University, Kunming, Yunnan, 650092, P. R. China
2. School of Mathematics and Statistics, Southwest University, Beibei, Chongqing, 400715, P. R. China
3. Department of Mathematics, Lanzhou University, Lanzhou, Gansu, 730000, P. R. China
Abstract:With the help of a property of completely simple semigroups proved in this paper we give necessary and sufficient conditions for vertex-transitivity of Cayley digraphs of strong semilattices of completely simple semigroups.
Keywords:
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