GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS

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Bhowal P.; Nath R. K.

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Journal Paper

Paper Information

Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2025 | Volume:13 | Issue:2 Page(s): 179-193

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Information Journal Paper

Title

GENUS OF COMMUTING GRAPHS OF CERTAIN FINITE GROUPS

Author(s)

Bhowal P. | Nath R. K. | Issue Writer Certificate

Keywords

commuting graph

genus

Finite group

Abstract

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.

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