Far East Journal of Applied Mathematics

The Far East Journal of Applied Mathematics publishes original research papers and survey articles in applied mathematics, covering topics such as nonlinear dynamics, approximation theory, and mathematical modeling. It encourages papers focusing on algorithm development.

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SOME PARAMETERS OF COMMUTING GRAPH OF A MULTIGROUP

http://dx.doi.org/10.17654/0972096023005

Authors

  • S. M. Magami
  • S. U. Ashafa

Keywords:

multiset (mset), multigroup (mgroup), commuting graph

Abstract

We discuss the notions of a multiset (mset) and a multigroup (mgroup) in relation with a classical group. The commuting graph is introduced and used to represent a multigroup. It is shown that the multiplicity of the identity element is the maximum in a multigroup. The maximum degree of vertex in any commuting graph has been found and it is shown that the commuting graph of a multigroup is a complete multipartite graph.

Received: September 3, 2022; Accepted: December 29, 2022; Published: March 20, 2023

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Published

2023-03-20

Issue

Vol. 116 No. 1 (2023)

Section

Articles

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How to Cite

SOME PARAMETERS OF COMMUTING GRAPH OF A MULTIGROUP: http://dx.doi.org/10.17654/0972096023005. (2023). Far East Journal of Applied Mathematics, 116(1), 61-71. https://pphmjopenaccess.com/fejam/article/view/116