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Bhowal, Parhajit, Nath, Rajat. (1404). GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS. , 13(2), 179-193. doi: 10.22044/jas.2023.13310.1742
Parhajit Bhowal; Rajat Kanti Nath. "GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS". , 13, 2, 1404, 179-193. doi: 10.22044/jas.2023.13310.1742
Bhowal, Parhajit, Nath, Rajat. (1404). 'GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS', , 13(2), pp. 179-193. doi: 10.22044/jas.2023.13310.1742
Bhowal, Parhajit, Nath, Rajat. GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS. , 1404; 13(2): 179-193. doi: 10.22044/jas.2023.13310.1742

GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS

Journal of Algebraic Systems
دوره 13، شماره 2، مهر 2025، صفحه 179-193    اصل مقاله (151.32 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2023.13310.1742
نویسندگان
Parhajit Bhowal1؛ Rajat Kanti Nath* 2
1Department of Mathematics, Cachar College, Silchar-788001, Assam, India.
2Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India.
چکیده
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.
کلیدواژه‌ها
commuting graph؛ genus؛ finite group
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