Closeness Energy of Non-Commuting Graph for Dihedral Groups

Authors

  • Mamika Ujianita Romdhini Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram 83125,
  • Athirah Nawawi
  • Faisal Al-Sharqi
  • Ashraf Al- Quran

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i1.5020

Keywords:

Closeness matrix, Energy of a graph, Non-commuting graph, Dihedral Groups

Abstract

This paper focuses on the non-commuting graph for dihedral groups of order 2n, D2n, where n ≥ 3. We show the spectrum and energy of the graph corresponding to the closeness matrix. The result is that the obtained energy is always twice its spectral radius and is never an odd integer. Moreover, it is classified as hypoenergetic.

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Published

2024-01-31

Issue

Section

Nonlinear Analysis

How to Cite

Closeness Energy of Non-Commuting Graph for Dihedral Groups. (2024). European Journal of Pure and Applied Mathematics, 17(1), 212-221. https://doi.org/10.29020/nybg.ejpam.v17i1.5020