Closeness Energy of Non-Commuting Graph for Dihedral Groups
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Published:2024-01-31
Issue:1
Volume:17
Page:212-221
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Romdhini Mamika Ujianita,Nawawi Athirah,Al-Sharqi Faisal,Al- Quran Ashraf
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.
Publisher
New York Business Global LLC