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On Cayley graphs of rectangular groups
Authors:Bahman Khosravi
Affiliation:Department of Mathematics, Shahid Beheshti University, Tehran 19839, Iran
Abstract:In this paper, we first give a characterization of Cayley graphs of rectangular groups. Then, vertex-transitivity of Cayley graphs of rectangular groups is considered. Further, it is shown that Cayley graphs Cay(S,C) which are automorphism-vertex-transitive, are in fact Cayley graphs of rectangular groups, if the subsemigroup generated by C is an orthodox semigroup. Finally, a characterization of vertex-transitive graphs which are Cayley graphs of finite semigroups is concluded.
Keywords:Cayley graph   Vertex-transitive graph   Rectangular group
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