Citation
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
Abstract
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.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.28924/APJM/11-9 |
| Publisher: | Asia Pacific Academic |
| Keywords: | Wiener-Hosoya matrix; Energy of a graph; Non-commuting graph; Dihedral group; Spectral graph theory; Matrix representation; Eigenvalues; Spectral radius; Chemical graph theory; Adjacency matrices; Laplacian matrices; Signless Laplacian matrices; Finite groups; Graph modeling; Graph energies; Graph spectrum; Mathematical applications |
| Depositing User: | Mr. Mohamad Syahrul Nizam Md Ishak |
| Date Deposited: | 08 May 2024 13:29 |
| Last Modified: | 08 May 2024 13:29 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.28924/APJM/11-9 |
| URI: | http://psasir.upm.edu.my/id/eprint/106223 |
| Statistic Details: | View Download Statistic |
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