Shahrood University of TechnologyJournal of Algebraic Systems2345-51285120170901A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS859088210.22044/jas.2017.882ENSeyed H. JafariDepartment of Mathematics, Shahrood University of Technology, P.O. Box
3619995161-316, Shahrood, Iran.Journal Article20150314The commuting graph of a group is a graph with vertexes set of a subset of a group and two<br /> element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting<br /> graph of a conjugacy class in the symmetric groups. The clique number, coloring number,<br /> independent number, and diameter of these graphs are also computed.https://jas.shahroodut.ac.ir/article_882_47d09a8a2984aa2088d6a1c7f4a6b771.pdf