A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS

author

  • Seyed H. Jafari Department of Mathematics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran.
Abstract:

The commuting graph of a group is a graph with vertexes set of a subset of a group and two element are adjacent if they commute. The aim of this paper is to obtain the automorphism group of the commuting graph of a conjugacy class in the symmetric groups. The clique number, coloring number, independent number, and diameter of these graphs are also computed.

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Journal title

volume 5  issue 1

pages  85- 90

publication date 2017-09-01

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