某些类型图的有害光谱和能量
Kuruba Ashoka1, Bolle Parvathalu2, Subramanian Arumugam3
1Department of Mathematics, Christ University, Hosur Road Bangalore, 560029, Karnataka, India.
Current organic synthesis
|February 7, 2025
概括
本研究探讨了图形理论,特别是各种图形类型的H-自身值和H-能量. 研究人员建立了图形能量之间的关系,并确定了邻近和哈拉里矩阵的等能量图.
科学领域:
- 图形理论是指图形的理论.
- 谱图理论的谱图理论.
- 数学化学是数学化学的一个方面.
背景情况:
- H-eigenvalues是从哈拉里矩阵H ((G)) 中导出的.
- H-能量是绝对H-自身值的总和.
- 哈拉里和相邻矩阵在化学中有应用,包括QSPR.
研究的目的:
- 调查 κ-fold,强 κ-fold 和扩展双部分双图的 H-eigenvalues 和 H-energy.
- 建立这些图的H能量与它们的原图G之间的关系.
- 探索H能量和普通能量之间的联系,以获得扩展的双部分双重图.
- 确定对邻域和哈拉里矩阵具有等能量属性的图形.
主要方法:
- 利用光谱代数技术计算H-自身值和H-能量.
- 在不同的图形类型中比较H能量,以确定等能量性质.
- 扩展双盖图的H能量与它们的普通能量之间的衍生关系.
主要成果:
- 确定 κ-fold,强 κ-fold 和扩展双部分双图的 H-光谱.
- 建立了这些图形的H能量与它们的原始图形G之间的关系.
- 呈现的图表显示了邻近和哈拉里矩阵的等能量属性.
结论:
- 提供了对不同图形类型的H-eigenvalues,H-energy和等能量性质的见解.
- 增强了分析等能图及其光谱性质的理论框架.
- 为更深入地了解图谱和能量关系做出了贡献.
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