Citation
Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharq, Faisal and Al-Qura, Ashraf
(2024)
Closeness energy of non-commuting graph for dihedral groups.
European Journal of Pure and Applied Mathematics, 17 (1).
pp. 212-221.
ISSN 1307-5543
Abstract
This paper focuses on the non-commuting graph for dihedral groups of order 2n, D2n, where n ≥ 3. We show the spectrum and energy of the graph corresponding to the closeness matrix. The result is that the obtained energy is always twice its spectral radius and is never an odd integer. Moreover, it is classified as hypoenergetic.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.29020/nybg.ejpam.v17i1.5020 |
| Publisher: | New York Business Global |
| Keywords: | Closeness matrix; Energy of a graph; Non-commuting graph; Dihedral groups; Energy; Spectral radius; Eigenvalues; Energy formulation; Graph theory; Mathematical analysis; Spectral properties; Hypoenergetic graphs |
| Depositing User: | Mr. Mohamad Syahrul Nizam Md Ishak |
| Date Deposited: | 07 May 2024 23:03 |
| Last Modified: | 07 May 2024 23:03 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.29020/nybg.ejpam.v17i1.5020 |
| URI: | http://psasir.upm.edu.my/id/eprint/106218 |
| Statistic Details: | View Download Statistic |
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