Citation
Romdhini, Mamika Ujianita and Nawawi, Athirah and Syechah, Bulqis Nebula and Al-Quran, Ashraf
(2024)
Seidel Laplacian and Seidel Signless Laplacian energies of commuting graph for dihedral groups.
Malaysian Journal of Fundamental and Applied Sciences, 20 (3).
pp. 701-713.
ISSN 2289-599X
Abstract
In this paper, we discuss the energy of the commuting graph. The vertex set of the graph is dihedral groups and the edges between two distinct vertices represent the commutativity of the group elements. The spectrum of the graph is associated with the Seidel Laplacian and Seidel signless Laplacian matrices. The results are similar to the well-known fact that the energies are not odd integers. We also highlight the relation that the Seidel signless Laplacian energy is never less than Seidel Laplacian energy. Ultimately, we classify the graphs according to the energy value as the hyperenergetic.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.11113/mjfas.v20n3.3465 |
| Publisher: | Penerbit UTM Press |
| Keywords: | Seidel laplacian matrix; Seidel signless laplacian matrix; Energy of a graph; Commuting graph; Dihedral groups |
| Depositing User: | Scopus 2024 |
| Date Deposited: | 12 Feb 2025 07:24 |
| Last Modified: | 12 Feb 2025 07:24 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.11113/mjfas.v20n3.3465 |
| URI: | http://psasir.upm.edu.my/id/eprint/111692 |
| Statistic Details: | View Download Statistic |
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