双Cayley图的BCI性

BCI-Property of Bi-Cayley Graph

设G是一个有限群,S是G的一个子集,则群G关于S的双Cayley图BCay(G,S)是指顶点集为G×{0,1},边集为{{(g,0),(sg,1)}g∈G,s∈S}的二部图。类似于Cayley图的CI性,定义并研究了有限群双Cayley图的所谓BCI性,获得了一些结果。

For a finite group G and its subset S,the Bi-Cayley graph BCay（G,S） of G with respect to S is defined as a bipartite graph with the vertex set G）〈 {0,1 } and the edge set { { （g,0）, （sg, 1） } ｜ g ∈ G,s ∈ S }. Like the CI-property of the Cayley graph,the BCI-property of Bi-Cayley graph of the finite group are defined ,and some results are gained.