On the Non-Commuting Graph of the Group U6n

被引：0

作者：

Khasraw, S. M. S. ^{[1
]}

Abdulla, C. ^{[2
]}

Sarmin, N. H. ^{[3
]}

Gambo, I. ^{[4
]}

机构：

[1] Salahaddin Univ Erbil, Coll Basic Educ, Dept Math, Erbil, Iraq

[2] Tishk Int Univ, Fac Educ, Dept Math Educ, Erbil, Iraq

[3] Univ Teknol Malaysia, Fac Sci, Dept Math Sci, Johor Baharu 81310, Johor, Malaysia

[4] Bauchi State Univ, Fac Sci, Dept Math Sci, Gadau, Nigeria

来源：

MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2024年 / 18卷 / 03期

关键词：

non-commuting graph; independent number; chromatic number; clique number; resolving polynomial of a graph;

D O I：

10.47836/mjms.18.3.02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. The non-commuting graph of G is a simple graph Gamma(G) whose vertices are elements of G\Z(G), where Z(G) is the center of G, and two distinct vertices aa and bb are joint by an edge if ab not equal ba. In this paper, we study the non-commuting graph of the group U-6n. The independent number, clique and chromatic numbers of the non-commuting graph of the group U6n, Gamma(U-6n), are determined. Additionally, the resolving polynomial, total eccentricity and independent polynomials of Gamma(U-6n) are computed. Finally, the detour and eccentric connectivity indices of Gamma(U6n) are found.

引用

页码：491 / 500

页数：10

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