TY - JOUR ID - 97177 TI - Commuting Conjugacy Class Graph of Finite CA-Groups JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Salahshour, Mohammad Ali AU - Ashrafi, Ali Reza AD - Department of Pure Mathematics, University of Kashan, Kashan 87317-53153, Iran. Y1 - 2020 PY - 2020 VL - 6 IS - 1 SP - 108 EP - 118 KW - Commuting conjugacy class graph KW - Commuting graph KW - CA-group KW - quotient graph DO - 10.22034/kjm.2019.97177 N2 - 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. UR - https://www.kjm-math.org/article_97177.html L1 - https://www.kjm-math.org/article_97177_3bc76fe226764a53f2b1071b15cca234.pdf ER -