Cayley digraphs and lexicographic product

doi:10.1007/s11464-007-0027-0

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (3) : 447-454. DOI: 10.1007/s11464-007-0027-0

Cayley digraphs and lexicographic product

PENG Xing, WANG Dianjun

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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.

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PENG Xing, WANG Dianjun. Cayley digraphs and lexicographic product. Front. Math. China, 2007, 2(3): 447‒454 https://doi.org/10.1007/s11464-007-0027-0