Closeness Energy of Non-Commuting Graph for Dihedral Groups

Closeness Energy of Non-Commuting Graph for Dihedral Groups

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...

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Veröffentlicht in:European journal of pure and applied mathematics 2024-01, Vol.17 (1), p.212-221
Hauptverfasser: Romdhini, Mamika Ujianita, Nawawi, Athirah, Al-Sharqi, Faisal, Al- Quran, Ashraf
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v17i1.5020