承认连通三次积分双凯莱图的有限群

Q4 Mathematics Algebraic Structures and their Applications Pub Date : 2018-10-01 DOI:10.29252/ASTA.5.2.35

M. Arezoomand, B. Taeri

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引用次数: 3

摘要

如果图的邻接矩阵的所有特征值都是整数，则称为整型图。给定有限群$G$的一个子集$S$，则bi-Cayley图$BCay(G,S)$是一个顶点集$G乘以{1,2}$和边集${{(x,1)，(sx,2)}}中间sins, xin G}$的图$。本文对所有承认连通三次积分双凯莱图的有限群进行了分类。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite groups admitting a connected cubic integral bi-Cayley graph

A graph is called integral if all eigenvalues of its adjacency matrix are integers. Given a subset $S$ of a finite group $G$, the bi-Cayley graph $BCay(G,S)$ is a graph with vertex set $Gtimes{1,2}$ and edge set ${{(x,1),(sx,2)}mid sin S, xin G}$. In this paper, we classify all finite groups admitting a connected cubic integral bi-Cayley graph.

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