Citation
Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharqi, Faisal and Salwa
(2024)
On spectrum and energy of identity graph for group of integers modulo n, Zn.
European Journal of Pure and Applied Mathematics, 17 (4).
pp. 2915-2929.
ISSN 1307-5543
Abstract
Groups and graphs are two concepts of algebraic mathematics. This paper focuses on group structures that can be expressed in graphs known as identity graphs. We investigate the energy of the identity graph for a group of integers modulo n, Zn, for odd and even n corresponding to adjacency, Laplacian, and signless Laplacian matrices. It can be seen that the Laplacian and signless Laplacian energies are always equal and are always an even integer. Meanwhile, the adjacency energy is never an odd integer for n is odd.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.29020/nybg.ejpam.v17i4.5375 |
| Publisher: | New York Business Global |
| Keywords: | Energy of a graph; Identity graph of a group; Zn |
| Depositing User: | Scopus |
| Date Deposited: | 19 Mar 2025 06:52 |
| Last Modified: | 19 Mar 2025 06:52 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.29020/nybg.ejpam.v17i4.5375 |
| URI: | http://psasir.upm.edu.my/id/eprint/115985 |
| Statistic Details: | View Download Statistic |
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