University of KashanMathematics Interdisciplinary Research2538-36393220181201On the Regular Power Graph on the Conjugacy Classes of Finite Groups1351388841410.22052/mir.2019.172618.1118ENSajjadMahmood RobatiDepartment of Mathematics, Faculty of science, Imam Khomeini international UniversityJournal Article20180218The (undirected) power graph on the conjugacy classes $mathcal{P_C}(G)$ of a group $G$ is a simple graph in which the vertices are the conjugacy classes of $G$ and two distinct vertices $C$ and $C'$ are adjacent in $mathcal{P_C}(G)$ if one is a subset of a power of the other. In this paper, we describe groups whose associated graphs are $k$-regular for $k=5,6$.http://mir.kashanu.ac.ir/article_88414_ff1c56177711f42e8c43d4466df2e617.pdf