Closeness energy of non-commuting graph for dihedral groups
This paper focuses on the non-commuting graph for dihedral groups of order 2n, D2n, where n ≥ 3. We show the spectrum and energy of the graph corresponding to the closeness matrix. The result is that the obtained energy is always twice its spectral radius and is never an odd integer. Moreover, it is...
| Main Authors: | , , , |
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| Format: | Article |
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New York Business Global
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/106218/ |
| _version_ | 1848864718904623104 |
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| author | Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharq, Faisal Al-Qura, Ashraf |
| author_facet | Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharq, Faisal Al-Qura, Ashraf |
| author_sort | Romdhini, Mamika Ujianita |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | This paper focuses on the non-commuting graph for dihedral groups of order 2n, D2n, where n ≥ 3. We show the spectrum and energy of the graph corresponding to the closeness matrix. The result is that the obtained energy is always twice its spectral radius and is never an odd integer. Moreover, it is classified as hypoenergetic. |
| first_indexed | 2025-11-15T13:53:16Z |
| format | Article |
| id | upm-106218 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:53:16Z |
| publishDate | 2024 |
| publisher | New York Business Global |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1062182024-05-07T23:03:45Z http://psasir.upm.edu.my/id/eprint/106218/ Closeness energy of non-commuting graph for dihedral groups Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharq, Faisal Al-Qura, Ashraf This paper focuses on the non-commuting graph for dihedral groups of order 2n, D2n, where n ≥ 3. We show the spectrum and energy of the graph corresponding to the closeness matrix. The result is that the obtained energy is always twice its spectral radius and is never an odd integer. Moreover, it is classified as hypoenergetic. New York Business Global 2024 Article PeerReviewed Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharq, Faisal and Al-Qura, Ashraf (2024) Closeness energy of non-commuting graph for dihedral groups. European Journal of Pure and Applied Mathematics, 17 (1). pp. 212-221. ISSN 1307-5543 https://ejpam.com/index.php/ejpam/article/view/5020 10.29020/nybg.ejpam.v17i1.5020 |
| spellingShingle | Romdhini, Mamika Ujianita Nawawi, Athirah Al-Sharq, Faisal Al-Qura, Ashraf Closeness energy of non-commuting graph for dihedral groups |
| title | Closeness energy of non-commuting graph for dihedral groups |
| title_full | Closeness energy of non-commuting graph for dihedral groups |
| title_fullStr | Closeness energy of non-commuting graph for dihedral groups |
| title_full_unstemmed | Closeness energy of non-commuting graph for dihedral groups |
| title_short | Closeness energy of non-commuting graph for dihedral groups |
| title_sort | closeness energy of non-commuting graph for dihedral groups |
| url | http://psasir.upm.edu.my/id/eprint/106218/ http://psasir.upm.edu.my/id/eprint/106218/ http://psasir.upm.edu.my/id/eprint/106218/ |