Acta Scientiarum Naturalium Universitatis Pekinensis

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On the Automorphism Groups of Bi-Cayley Graphs

LU Zaiping   

  1. School of Mathematical Sciences, Peking University, Beijing, 100871
  • Received:2002-01-11 Online:2003-01-20 Published:2003-01-20



  1. 北京大学数学科学学院,北京,100871

Abstract: For a finite group G, and a subset S(possibly, contains the identity element) of G, the bi-Cayley graph BCay(G, S) of G with respect to S is defined as the bipartite graph with vertex set G×{0, 1} and edge set {{(g, 0), (sg, 1)}|gG, sS}. The automorphism group A of bi-Cayley graph BCay(G, S) is investigated, and the structure of NA(Rrl(G)) is given.

Key words: edge transitive graph, semisymmetric graph, Cayley graph, bi-Cayley graph

摘要: G是有限群,SG的一个子集(可能含有单位元)。群G关于S的双Cayley图BCay(G,S)是以G×{0,1}为点集而以{{(g,0),( sg,1)}| gG,sS}为边集的二部图。考查了双Cayley图BCay(G,S)的自同构群A,并决定了NA (Rrl(G))的结构。

关键词: 边传递图, 半对称图, Cayley图, 双Cayley图

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