@article {
author = {Hamm, Jessie and Way, Alan},
title = {Parameters of the coprime graph of a group},
journal = {International Journal of Group Theory},
volume = {10},
number = {3},
pages = {137-147},
year = {2021},
publisher = {University of Isfahan},
issn = {2251-7650},
eissn = {2251-7669},
doi = {10.22108/ijgt.2020.112121.1489},
abstract = {There are many different graphs one can associate to a group. Some examples are the well-known Cayley graph, the zero divisor graph (of a ring), the power graph, and the recently introduced coprime graph of a group. The coprime graph of a group $G$, denoted $\Gamma_G$, is the graph whose vertices are the group elements with $g$ adjacent to $h$ if and only if $(o(g),o(h))=1$. In this paper we calculate the independence number of the coprime graph of the dihedral groups. Additionally, we characterize the groups whose coprime graph is perfect.},
keywords = {coprime graph,Finite groups,Independence number,perfect graph},
url = {https://ijgt.ui.ac.ir/article_24696.html},
eprint = {https://ijgt.ui.ac.ir/article_24696_9bdd71ba7326bf96ac429abd41fd0412.pdf}
}