@article {
author = {Dorbidi, Hamid Reza},
title = {A note on the coprime graph of a group},
journal = {International Journal of Group Theory},
volume = {5},
number = {4},
pages = {17-22},
year = {2016},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2016.9125},
abstract = {In this paper we study the coprime graph of a group $G$. The coprime graph of a group $G$, denoted by $\Gamma_G$, is a graph whose vertices are elements of $G$ and two distinct vertices $x$ and $y$ are adjacent if and only if $(|x|,|y|)=1$. In this paper, we show that $\chi(\Gamma_G)=\omega(\Gamma_G).$ We classify all the groups which $\Gamma_G$ is a complete $r-$partite graph or a planar graph. Also we study the automorphism group of $\Gamma_G$.},
keywords = {coprime graph,Planner graph,automorphism group},
url = {https://ijgt.ui.ac.ir/article_9125.html},
eprint = {https://ijgt.ui.ac.ir/article_9125_60914131d24633f1c40065d684308824.pdf}
}