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.
Salahshour, M., & Ashrafi, A. (2020). Commuting Conjugacy Class Graph of Finite CA-Groups. Khayyam Journal of Mathematics, 6(1), 108-118. doi: 10.22034/kjm.2019.97177
MLA
Mohammad Ali Salahshour; Ali Reza Ashrafi. "Commuting Conjugacy Class Graph of Finite CA-Groups". Khayyam Journal of Mathematics, 6, 1, 2020, 108-118. doi: 10.22034/kjm.2019.97177
HARVARD
Salahshour, M., Ashrafi, A. (2020). 'Commuting Conjugacy Class Graph of Finite CA-Groups', Khayyam Journal of Mathematics, 6(1), pp. 108-118. doi: 10.22034/kjm.2019.97177
VANCOUVER
Salahshour, M., Ashrafi, A. Commuting Conjugacy Class Graph of Finite CA-Groups. Khayyam Journal of Mathematics, 2020; 6(1): 108-118. doi: 10.22034/kjm.2019.97177
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