LAPLACIAN AND SIGNLESS LAPLACIAN ENERGIES OF NON-COMMUTING GRAPH FOR GROUP U6n

被引：0

作者：

Romdhini, Mamika ujianita ^{[1
]}

Nawawi, Athirah ^{[2
]}

机构：

[1] Univ Mataram, Fac Math & Nat Sci, Dept Math, Mataram 83125, Indonesia

[2] Univ Putra Malaysia, Fac Sci, Dept Math & Stat, Serdang 43400, Selangor, Malaysia

来源：

JOURNAL OF APPLIED MATHEMATICS & INFORMATICS | 2025年 / 43卷 / 01期

关键词：

Laplacian matrix; signless laplacian matrix; energy of a graph; non-commuting graph; U6n;

D O I：

10.14317/jami.2025.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The non-commuting graph on a group G, denoted by Gamma(G), has G\Z(G) as the vertex set and v(i), v(j) is an element of G\Z(G) are adjacent whenever v(i)v(j) not equal v(j)v(i). This research presented the Laplacian and signless Laplacian energies of Gamma G for group U6n, n >= 1. The result is that the two energies are of the same value and are always even integers. It is also found that Gamma(G) for U6n is hyperenergetic.

引用

页码：23 / 32

页数：10

共 25 条

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