%0 Journal Article
%T Commuting Conjugacy Class Graph of Finite CA-Groups
%J Khayyam Journal of Mathematics
%I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)
%Z 2423-4788
%A Salahshour, Mohammad Ali
%A Ashrafi, Ali Reza
%D 2020
%\ 01/01/2020
%V 6
%N 1
%P 108-118
%! Commuting Conjugacy Class Graph of Finite CA-Groups
%K Commuting conjugacy class graph
%K Commuting graph
%K CA-group
%K quotient graph
%R 10.22034/kjm.2019.97177
%X Let $G$ be a finite nonabelian group. The commuting conjugacy class graph $\Gamma(G)$ is a simple graph with the noncentral conjugacy classes of $G$ as its vertex set and two distinct vertices $X$ and $Y$ in $\Gamma(G)$ are adjacent if and only if there are $x \in X$ and $y \in Y$ with this property that $xy = yx$. The aim of this paper is to obtain the structure of the commuting conjugacy class graph of finite CA-groups. It is proved that this graph is a union of some complete graphs. The commuting conjugacy class graph of certain groups are also computed.
%U http://www.kjm-math.org/article_97177_3bc76fe226764a53f2b1071b15cca234.pdf