Citation
Romdhin, Mamika Ujianita and Nawawi, Athirah and Chen, Chuei Yee
(2022)
Degree exponent sum energy of commuting graph for dihedral groups.
Malaysian Journal of Science, 41 (spec. 1).
40 - 46.
ISSN 1394-3065
Abstract
For a finite group G and a nonempty subset X of G, we construct a graph with a set of vertex X such that any pair of distinct vertices of X are adjacent if they are commuting elements in G. This graph is known as the commuting graph of G on X, denoted by ΓG [X]. The degree exponent sum (DES) matrix of a graph is a square matrix whose (p,q)-th entry is is dvp dvq + dvqdvp whenever p is different from q, otherwise, it is zero, where dvp (or dvq ) is the degree of the vertex vp (or vertex, vq) of a graph. This study presents results for the DES energy of commuting graph for dihedral groups of order 2n, using the absolute eigenvalues of its DES matrix.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.22452/mjs.sp2022no1.6 |
| Publisher: | University of Malaya |
| Keywords: | Commuting graph; Dihedral group; Degree exponent sum matrix; The energy of a graph |
| Depositing User: | Ms. Nur Faseha Mohd Kadim |
| Date Deposited: | 26 Jul 2023 03:02 |
| Last Modified: | 26 Jul 2023 03:02 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.22452/mjs.sp2022no1.6 |
| URI: | http://psasir.upm.edu.my/id/eprint/100883 |
| Statistic Details: | View Download Statistic |
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