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Closeness Laplacian and closeness signless Laplacian energies of non-commuting graph for dihedral groups


Citation

Romdhini, Mamika Ujianita and Abdurahim, Abdurahim and Hakim Maharani, Andika Ellena Saufika and Nawawi, Athirah and Al-Sharqi, Faisal and Dani, Ifan Hasnan (2026) Closeness Laplacian and closeness signless Laplacian energies of non-commuting graph for dihedral groups. Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, 18 (2). pp. 145-160. ISSN 2066-5997; eISSN: 2066-6594

Abstract

This research investigates the relationship between algebra and graph theory, specifically how algebra facilitates graph theory. Associating matrices with graphs introduces the concept of graph energies. A new energy formula of non-commuting graphs for dihedral groups using closeness Laplacian and closeness signless Laplacian matrices is investigated in this paper. It is found that both energies are always equivalent and are categorized as hyperenergetic.


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Additional Metadata

Item Type: Article
Subject: Mathematics (all)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.56082/annalsarscimath.2026.2.145
Publisher: Publishing House of the Romanian Academy
Keywords: Closeness laplacian matrix; Closeness signless laplacian matrix; Dihedral group; 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 06:57
Last Modified: 30 Jun 2026 06:57
Altmetrics: https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.56082/annalsarscimath.2026.2.145
URI: http://psasir.upm.edu.my/id/eprint/126635
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