Computational Investigation of The Result Involution Graphs for The Conway Group Co3

Abstract

The result involution graph, ΓGRI, for a finite group G, is an simple graph has the group G elements as a vertex set and two vertices are adjacent if they are distinct and their product is an involution element. In this paper, the result involution graphs for the Conway group Co3 are investigated. The connec-tivity of ΓCo3RI and particular features are computing such as the dimeter, the girth and the clique number