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Cayley digraphs and lexicographic product
Authors:Xing Peng  Dianjun Wang
Institution:(1) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, China
Abstract:In this paper, we prove that a Cayley digraph Γ = Cay(G, S) is a nontrivial lexicographical product if and only if there is a nontrivial subgroup H of G such that S∖H is a union of some double cosets of H in G.
Keywords:Cayley graph  lexicoproduct of graphs  double coset
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