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.

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

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

How to cite this article: S. M. Magami and S. U. Ashafa, Some parameters of commuting graph of a multigroup, Far East Journal of Applied Mathematics 116(1) (2023), 61-71. http://dx.doi.org/10.17654/0972096023005

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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