Wiener-Hosoya energy of non-commuting graph for dihedral groups
Spectral graph theory studies the connection between graph theory and algebra through matrices representation. This research is devoted to the spectrum of the non-commuting graph for the dihedral group. The matrix representation is the Wiener-Hosoya matrix which is a square matrix and the eigenvalue...
| Main Authors: | , , , , |
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| Format: | Article |
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Asia Pacific Academic
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/106223/ |
| _version_ | 1848864720213245952 |
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| author | Romdhini, M.U. Nawawi, A. Al-Sharqi, F. Al-Quran, A. Kamali, S.R. |
| author_facet | Romdhini, M.U. Nawawi, A. Al-Sharqi, F. Al-Quran, A. Kamali, S.R. |
| author_sort | Romdhini, M.U. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Spectral graph theory studies the connection between graph theory and algebra through matrices representation. This research is devoted to the spectrum of the non-commuting graph for the dihedral group. The matrix representation is the Wiener-Hosoya matrix which is a square matrix and the eigenvalues corresponding to the matrix are determined. The result shows that the energy is always similar to twice its spectral radius. |
| first_indexed | 2025-11-15T13:53:18Z |
| format | Article |
| id | upm-106223 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T13:53:18Z |
| publishDate | 2024 |
| publisher | Asia Pacific Academic |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1062232024-05-08T13:29:06Z http://psasir.upm.edu.my/id/eprint/106223/ Wiener-Hosoya energy of non-commuting graph for dihedral groups Romdhini, M.U. Nawawi, A. Al-Sharqi, F. Al-Quran, A. Kamali, S.R. Spectral graph theory studies the connection between graph theory and algebra through matrices representation. This research is devoted to the spectrum of the non-commuting graph for the dihedral group. The matrix representation is the Wiener-Hosoya matrix which is a square matrix and the eigenvalues corresponding to the matrix are determined. The result shows that the energy is always similar to twice its spectral radius. Asia Pacific Academic 2024 Article PeerReviewed Romdhini, M.U. and Nawawi, A. and Al-Sharqi, F. and Al-Quran, A. and Kamali, S.R. (2024) Wiener-Hosoya energy of non-commuting graph for dihedral groups. Asia Pacific Journal of Mathematics, 11. pp. 1-9. ISSN 2357-2205 https://apjm.apacific.org/PDFs/11-9.pdf 10.28924/APJM/11-9 |
| spellingShingle | Romdhini, M.U. Nawawi, A. Al-Sharqi, F. Al-Quran, A. Kamali, S.R. Wiener-Hosoya energy of non-commuting graph for dihedral groups |
| title | Wiener-Hosoya energy of non-commuting graph for dihedral groups |
| title_full | Wiener-Hosoya energy of non-commuting graph for dihedral groups |
| title_fullStr | Wiener-Hosoya energy of non-commuting graph for dihedral groups |
| title_full_unstemmed | Wiener-Hosoya energy of non-commuting graph for dihedral groups |
| title_short | Wiener-Hosoya energy of non-commuting graph for dihedral groups |
| title_sort | wiener-hosoya energy of non-commuting graph for dihedral groups |
| url | http://psasir.upm.edu.my/id/eprint/106223/ http://psasir.upm.edu.my/id/eprint/106223/ http://psasir.upm.edu.my/id/eprint/106223/ |