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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

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2018 Impact Factor: 0.565

Front. Math. China    2007, Vol. 2 Issue (3) : 447-454    https://doi.org/10.1007/s11464-007-0027-0
Cayley digraphs and lexicographic product
PENG Xing, WANG Dianjun
Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;
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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.
Issue Date: 05 September 2007
 Cite this article:   
PENG Xing,WANG Dianjun. Cayley digraphs and lexicographic product[J]. Front. Math. China, 2007, 2(3): 447-454.
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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-007-0027-0
https://academic.hep.com.cn/fmc/EN/Y2007/V2/I3/447
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