More on Result Involution Graphs

Ali Abd Aubad; Haval M. Mohammed Salih

doi:10.24996/ijs.2023.64.1.30

Authors

Ali Abd Aubad Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Haval M. Mohammed Salih Department of Mathematics, Faculty of Science, Soran University, Erbil, Iraq

DOI:

https://doi.org/10.24996/ijs.2023.64.1.30

Keywords:

Mathieu Group, Result Involution Graph, Connectedness, Girth

Abstract

The result involution graph of a finite group , denoted by is an undirected simple graph whose vertex set is the whole group and two distinct vertices are adjacent if their product is an involution element. In this paper, result involution graphs for all Mathieu groups and connectivity in the graph are studied. The diameter, radius and girth of this graph are also studied. Furthermore, several other graph properties are obtained.