Citation
Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharqi, Faisal
(2026)
On spectral properties of the Normalized Laplacian and Signless Laplacian matrices of the non-commuting graph of U6n.
Asia Pacific Journal of Mathematics, 13.
art. no. 78.
pp. 1-11.
ISSN 2357-2205
Abstract
In this study, we investigate the spectral properties of the non-commuting graph associated with the group U6n, for n ≥ 1. Specifically, we determine the spectral radius and graph energy derived from the eigenvalues of the normalized Laplacian (NL) and normalized signless Laplacian (NSL) matrices. Our analysis reveals that the NL-energy coincides exactly with the NSL-energy for all admissible values of n, and notably, this common energy value is always an odd integer. These findings contribute to a deeper understanding of spectral invariants in algebraically defined graphs and highlight a structural symmetry between NL and NSL frameworks for this class of groups.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Subject: | Mathematics (all) |
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.28924/APJM/13-78 |
| Publisher: | Asia Pacific Academic |
| Keywords: | Energy of graph; Group u6n.; Non-commuting graph; Normalized laplacian matrix; Normalized signless laplacian matrix |
| 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: | 16 Jul 2026 01:29 |
| Last Modified: | 16 Jul 2026 01:30 |
| Altmetrics: | https://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.28924/APJM/13-78 |
| URI: | http://psasir.upm.edu.my/id/eprint/126401 |
| Statistic Details: | View Download Statistic |
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