二面群非通约图的接近能

IF 1 Q1 MATHEMATICS European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI:10.29020/nybg.ejpam.v17i1.5020

M. U. Romdhini, A. Nawawi, F. Al-Sharqi, Ashraf Al- Quran

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引用次数: 0

摘要

本文重点研究阶数为 2n 的二面体群的非交换图 D2n（其中 n ≥ 3）。我们展示了与闭合矩阵相对应的图谱和能量。结果表明，得到的能量总是其谱半径的两倍，而且从来不是奇整数。此外，它还被归类为低能图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 classified as hypoenergetic.

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