非交换图为分裂图的群

IF 0.7 Q2 MATHEMATICS

International Journal of Group Theory Pub Date : 2017-03-01 DOI:10.22108/IJGT.2017.11161

M. Akbari, A. Moghaddamfar

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引用次数: 4

摘要

群$G$的非交换图$nabla (G)$是一个简单图，其顶点集是$G$的非中心元素的集合，其边是连接两个非交换元素的边。在同构范围内，我们确定了任意有限非阿贝兰群$G$的结构，其非交换图是一个分裂图，即其顶点集可以划分为两个集合，其中一个集合上的诱导子图是完全图，另一个集合上的诱导子图是独立集。

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Groups for which the noncommuting graph is a split graph

The noncommuting graph $nabla (G)$ of a group $G$ is a simple graph whose vertex set is the set of noncentral elements of $G$ and the edges of which are the ones connecting two noncommuting elements. We determine here, up to isomorphism, the structure of any finite nonabeilan group $G$ whose noncommuting graph is a split graph, that is, a graph whose vertex set can be partitioned into two sets such that the induced subgraph on one of them is a complete graph and the induced subgraph on the other is an independent set.

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来源期刊

International Journal of Group Theory MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

30 weeks

期刊介绍： International Journal of Group Theory (IJGT) is an international mathematical journal founded in 2011. IJGT carries original research articles in the field of group theory, a branch of algebra. IJGT aims to reflect the latest developments in group theory and promote international academic exchanges.