@article {
author = {Ahanjideh, N. and Mousavi, H.},
title = {ON THE GROUPS WITH THE PARTICULAR NON-COMMUTING GRAPHS},
journal = {Journal of Algebraic Systems},
volume = {2},
number = {2},
pages = {147-151},
year = {2015},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2015.372},
abstract = {Let $G$ be a non-abelian finite group. In this paper, we prove that $Gamma(G)$ is $K_4$-free if and only if $G cong A times P$, where $A$ is an abelian group, $P$ is a $2$-group and $G/Z(G) cong mathbb{ Z}_2 times mathbb{Z}_2$. Also, we show that $Gamma(G)$ is $K_{1,3}$-free if and only if $G cong {mathbb{S}}_3,~D_8$ or $Q_8$.},
keywords = {non-commuting graph,$K_4$-free graph,$K_{1,3}$-free graph},
url = {https://jas.shahroodut.ac.ir/article_372.html},
eprint = {https://jas.shahroodut.ac.ir/article_372_7f1845805d519f0e1594759c85b7ed9d.pdf}
}