Characteristic polynomial of power graph for dihedral groups using degree-based matrices
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, w...
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| Format: | Article |
| Language: | English |
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Penerbit UTM Press
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/113379/ http://psasir.upm.edu.my/id/eprint/113379/1/113379.pdf |
| _version_ | 1848866206126178304 |
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| author | Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharqi, Faisal Al-Quran, Ashraf |
| author_facet | Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharqi, Faisal Al-Quran, Ashraf |
| author_sort | Romdhini, Mamika Ujianita |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T14:16:55Z |
| format | Article |
| id | upm-113379 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:16:55Z |
| publishDate | 2024 |
| publisher | Penerbit UTM Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1133792024-11-22T03:44:13Z http://psasir.upm.edu.my/id/eprint/113379/ Characteristic polynomial of power graph for dihedral groups using degree-based matrices Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharqi, Faisal Al-Quran, Ashraf 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. Penerbit UTM Press 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/113379/1/113379.pdf 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 https://mjfas.utm.my/index.php/mjfas/article/view/3357 10.11113/mjfas.v20n2.3357 |
| spellingShingle | Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharqi, Faisal Al-Quran, Ashraf Characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| title | Characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| title_full | Characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| title_fullStr | Characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| title_full_unstemmed | Characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| title_short | Characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| title_sort | characteristic polynomial of power graph for dihedral groups using degree-based matrices |
| url | http://psasir.upm.edu.my/id/eprint/113379/ http://psasir.upm.edu.my/id/eprint/113379/ http://psasir.upm.edu.my/id/eprint/113379/ http://psasir.upm.edu.my/id/eprint/113379/1/113379.pdf |