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Distance-based energies of non-commuting graph for dihedral groups


Citation

Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharqi, Faisal and Abdurahim and Hakim Maharani, Andika Ellena Saufika and Dani, Ifan Hasnan (2026) Distance-based energies of non-commuting graph for dihedral groups. Bulletin of Mathematical Analysis and Applications, 18 (1). pp. 57-73. ISSN 1821-1291

Abstract

The connection of graph and group is a new interesting topic in which the group elements are the graph’s vertex set. The non-commuting graph for dihedral groups is one graph representation of the group. This research focuses on the spectral properties of this graph, including spectral radius and energy, in which the matrix representations are distance, Harary, distance Laplacian, and distance signless Laplacian matrices. The relationships between the obtained energies are also presented in this paper.


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Additional Metadata

Item Type: Article
Subject: Analysis
Subject: Mathematics (miscellaneous)
Subject: Applied Mathematics
Divisions: Faculty of Science
DOI Number: https://doi.org/10.54671/BMAA-2026-1-4
Publisher: Department of Mathematics and Computer Sciences, University of Prishtina
Keywords: Dihedral group; Distance-based matrices; Energy of a graph; Non-commuting graph
Sustainable Development Goals (SDGs): SDG 9: Industry, Innovation and Infrastructure, SDG 17: Partnerships for the Goals, SDG 4: Quality Education
Depositing User: Ms. Siti Radziah Mohamed@mahmod
Date Deposited: 30 Jun 2026 07:04
Last Modified: 30 Jun 2026 07:04
Altmetrics: https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.54671/BMAA-2026-1-4
URI: http://psasir.upm.edu.my/id/eprint/126623
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