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On spectrum and energy of non-commuting graph for group U6n


Citation

Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharqi, Faisal and Al-Quran, Ashraf (2025) On spectrum and energy of non-commuting graph for group U6n. Journal of the Indonesian Mathematical Society, 31 (4). art. no. 1928. pp. 1-14. ISSN 2086-8952; eISSN: 2460-0245

Abstract

Let G be a group and Z(G) be the center of G. In this paper, we discuss a specific type of graph known as the non-commuting graph, denoted by ΓG, whose vertex set contains all group elements excluding central elements, G\Z(G). This graph has to satisfy a condition in which vp, vq ∈ G\Z(G) where vp ≠ vq, are adjacent whenever vpvq ≠ vqvp. This paper presents the spectrum and energy of the non-commuting graph for U6n, ΓU6n associated with the adjacency, degree sum, and degree sum adjacency matrices and their energy relationship.


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Additional Metadata

Item Type: Article
Subject: Mathematics (all)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.22342/jims.v31i4.1928
Publisher: The Indonesian Mathematical Society
Keywords: Energy of a graph; Non-commuting graph; Spectrum; U6n group
Sustainable Development Goals (SDGs): SDG 9: Industry, Innovation and Infrastructure, SDG 17: Partnerships for the Goals, SDG 4: Quality Education
Depositing User: MS. HADIZAH NORDIN
Date Deposited: 27 Apr 2026 07:43
Last Modified: 27 Apr 2026 07:43
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.22342/jims.v31i4.1928
URI: http://psasir.upm.edu.my/id/eprint/124924
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