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

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.

Keywords:

symmetric group , automorphim group , commuting graph

Authors

Seyed H. Jafari

Department of Mathematics, Shahrood University of Technology, P.O. Box ۳۶۱۹۹۹۵۱۶۱-۳۱۶, Shahrood, Iran.

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/893200

شناسه ملی سند علمی:

JR_JAS-5-1_007

تاریخ نمایه سازی: 18 تیر 1398

How to Cite to This Paper:

If you want to refer to this Paper in your research work, you can simply use the following phrase in the resources section:

Jafari, Seyed H.,1396,A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS,https://civilica.com/doc/893200

Scientometrics

The specifications of the publisher center of this Paper are as follows:

Ranking of Shahrood University of Technology

Type of center: دانشگاه دولتی

Paper count: 10,219

In the scientometrics section of CIVILICA, you can see the scientific ranking of the Iranian academic and research centers based on the statistics of indexed articles.