Groups for which the noncommuting graph is a split graph

International Journal of Group Theory

Marzieh Akbari¹  Alireza Moghaddamfar² 

[1] K. N. Toosi University of Technology;K.N. Toosi University of Technology;

关键词: nonabelian group;    noncommuting graph;    split graph;   

DOI  :  10.22108/ijgt.2017.11161

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown