GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS
نویسندگان
1 Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
2 Department of Mathematics, Cachar College, Silchar-788001, Assam, India.
doi
10.22044/jas.2023.13310.1742چکیده
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.