Citation
Romdhini, Mamika Ujianita and Nawawi, Athirah and Husain, Sharifah Kartini Said and Al-Sharqi, Faisal and Purnamasari, N.A.
(2024)
On energy of prime ideal graph of a commutative ring associated with transmission-based matrices.
Malaysian Journal of Mathematical Sciences, 18 (3).
pp. 663-674.
ISSN 1823-8343
Abstract
This research explores the energy of the prime ideal graph of a commutative ring. The study demonstrates the energy formula of the graph associated with transmission-based matrices. Through research, the findings highlight the distance, Wiener-Hosoya, and distance signless Laplacian matrices. It should be noted that the distance and Wiener-Hosoya energies are always twice their spectral radius, meanwhile, it does not hold for distance signless Laplacian energy.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.47836/mjms.18.3.13 |
| Publisher: | Universiti Putra Malaysia |
| Keywords: | Commutative ring; Distance matrix; Distance signless laplacian matrix; Energy of a graph; Prime ideal graph; Wiener-hosoya matrix |
| Depositing User: | Scopus |
| Date Deposited: | 19 Mar 2025 07:07 |
| Last Modified: | 20 Mar 2025 00:21 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.47836/mjms.18.3.13 |
| URI: | http://psasir.upm.edu.my/id/eprint/115987 |
| Statistic Details: | View Download Statistic |
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