UPM Institutional Repository

Degree square subtraction energy of non-commuting graph for dihedral groups


Citation

Romdhini, Mamika Ujianita and Nawawi, Athirah and Al-Sharqi, Faisal and Alfian, Muhammad Rijal (2024) Degree square subtraction energy of non-commuting graph for dihedral groups. Sains Malaysiana, 53 (6). pp. 1421-1426. ISSN 0126-6039

Abstract

The non-commuting graph on a finite G, denoted by ΓG, with the set of non-central elements of G as the vertex set and two distinct vertices are adjacent whenever they do not commute in G. In this paper, we discuss the spectrum, spectral radius and degree square subtraction energy of ΓG for dihedral groups of order 2n, D2n, where n≥3. It is found that the obtained energy here is equal to twice its spectral radius and there is a relationship with the degree subtraction energy that was described in previous literature.


Download File

[img] Text
113617.pdf - Published Version
Available under License Creative Commons Attribution Non-commercial.
Download (1MB)

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.17576/jsm-2024-5306-15
Publisher: Penerbit Universiti Kebangsaan Malaysia
Keywords: Degree square subtraction matrix; Dihedral group; Non-commuting graph; The energy of a graph
Depositing User: Ms. Azian Edawati Zakaria
Date Deposited: 14 Nov 2024 03:22
Last Modified: 14 Nov 2024 03:22
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.17576/jsm-2024-5306-15
URI: http://psasir.upm.edu.my/id/eprint/113617
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item