Closeness Energy of Non-Commuting Graph for Dihedral Groups

Mamika Ujianita Romdhini,Athirah Nawawi,Faisal Al-Sharqi,Ashraf Al- Quran

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS（2024）

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摘要

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. 2020 Mathematics Subject Classifications: 05C25, 05C50, 15A18, 20D99

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关键词

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

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