Abstract

One of the interesting recent studies on graph theory is representing a group in a graph. One of the resulting graphs is a coprime graph. The coprime graph's vertices set consists of every element of the group, and two elements are said to be adjacent if their orders are relatively prime. This research aims to find some characterizations of the coprime graph of the group of square matrices over integer modulo. In general, it is obtained that the coprime graph of the group of square matrices over integer modulo is multipartite.

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