%0 Journal Article
%T Parameters of the coprime graph of a group
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Hamm, Jessie
%A Way, Alan
%D 2021
%\ 09/01/2021
%V 10
%N 3
%P 137-147
%! Parameters of the coprime graph of a group
%K coprime graph
%K Finite groups
%K Independence number
%K perfect graph
%R 10.22108/ijgt.2020.112121.1489
%X 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.
%U https://ijgt.ui.ac.ir/article_24696_9bdd71ba7326bf96ac429abd41fd0412.pdf