Citation
Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharqi, Faisal and Al-Quran, Ashraf
(2024)
Characteristic polynomial of power graph for dihedral groups using degree-based matrices.
Malaysian Journal of Fundamental and Applied Sciences, 20 (2).
pp. 328-335.
ISSN 2289-599X; eISSN: 2289-599X
Abstract
A fundamental feature of spectral graph theory is the correspondence between matrix and graph. As a result of this relation, the characteristic polynomial of the graph can be formulated. This research focuses on the power graph of dihedral groups using degree-based matrices. Throughout this paper, we formulate the characteristic polynomial of the power graph of dihedral groups based on seven types of graph matrices which include the maximum degree, the minimum degree, the greatest common divisor degree, the first Zagreb, the second Zagreb, the misbalance degree, and the Nirmala matrices.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.11113/mjfas.v20n2.3357 |
| Publisher: | Penerbit UTM Press |
| Keywords: | Characteristic polynomial; Degree-based matrices; Dihedral group; Power graph |
| Depositing User: | Mr. Mohamad Syahrul Nizam Md Ishak |
| Date Deposited: | 22 Nov 2024 03:44 |
| Last Modified: | 22 Nov 2024 03:44 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.11113/mjfas.v20n2.3357 |
| URI: | http://psasir.upm.edu.my/id/eprint/113379 |
| Statistic Details: | View Download Statistic |
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