Genus of commuting graphs of certain finite groups

Document Type : Original Manuscript


1 Department Of Mathematical Sciences, Tezpur University Napaam, Tezpur

2 Assam University



The commuting graph of a finite group G is a graph whose vertex set is the set of non-central elements of G and two distinct vertices are adjacent if they commute. In this article, we compute genus of commuting graphs of certain classes of finite non-abelian groups and characterize those groups such that their commuting graphs have genus 4, 5 and 6.