On energy of prime ideal graph of a commutative ring associated with transmission-based matrices
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 sho...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Universiti Putra Malaysia
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/115987/ http://psasir.upm.edu.my/id/eprint/115987/1/115987.pdf |
| _version_ | 1848866906707066880 |
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| author | Romdhini, Mamika Ujianita Nawawi, Athirah Husain, Sharifah Kartini Said Al-Sharqi, Faisal Purnamasari, N.A. |
| author_facet | Romdhini, Mamika Ujianita Nawawi, Athirah Husain, Sharifah Kartini Said Al-Sharqi, Faisal Purnamasari, N.A. |
| author_sort | Romdhini, Mamika Ujianita |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T14:28:03Z |
| format | Article |
| id | upm-115987 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:28:03Z |
| publishDate | 2024 |
| publisher | Universiti Putra Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1159872025-03-20T00:21:46Z http://psasir.upm.edu.my/id/eprint/115987/ On energy of prime ideal graph of a commutative ring associated with transmission-based matrices Romdhini, Mamika Ujianita Nawawi, Athirah Husain, Sharifah Kartini Said Al-Sharqi, Faisal Purnamasari, N.A. 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. Universiti Putra Malaysia 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/115987/1/115987.pdf 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 https://mjms.upm.edu.my/lihatmakalah.php?kod=2024/September/18/3/663-674 10.47836/mjms.18.3.13 |
| spellingShingle | Romdhini, Mamika Ujianita Nawawi, Athirah Husain, Sharifah Kartini Said Al-Sharqi, Faisal Purnamasari, N.A. On energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| title | On energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| title_full | On energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| title_fullStr | On energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| title_full_unstemmed | On energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| title_short | On energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| title_sort | on energy of prime ideal graph of a commutative ring associated with transmission-based matrices |
| url | http://psasir.upm.edu.my/id/eprint/115987/ http://psasir.upm.edu.my/id/eprint/115987/ http://psasir.upm.edu.my/id/eprint/115987/ http://psasir.upm.edu.my/id/eprint/115987/1/115987.pdf |