关于连接图的距离能量之间的比较
Hilal A Ganie1, Bilal Ahmad Rather2, Yilun Shang3
1Department of School Education JK Govt. Kashmir, India.
Heliyon
|December 3, 2024
概括
这项研究探讨了图形能量,特别是距离,距离拉普拉西安和距离无标记的拉普拉西安能量. 它确定了这些图形不变数之间的不等式的条件,并证明了某些图形类型的特定结果.
科学领域:
- 图形理论 图形理论
- 数学化学 数学化学
- 网络分析 网络分析
背景情况:
- 介绍了维纳指数和三个图形能量:距离能量,距离拉普拉斯能量和距离无标记的拉普拉斯能量.
- 根据图形的自值和平均传输度来定义这些能量.
- 突出了理解这些图形不变数之间的关系的重要性.
研究的目的:
- 研究距离能量,距离拉普拉斯能量和距离无信号拉普拉斯能量之间的关系.
- 为涉及这些图形能量的特定不等式推导必要条件.
- 在特定的图形类中分析这些能量的行为.
主要方法:
- 使用光谱图理论概念,专注于距离,距离拉普拉斯特征和距离无符号的拉普拉斯特征.
- 导出不等式和的必要条件.
- 采用分析方法来证明单个正距离固有值的图和完整的双部分图的结果.
- 包括计算分析的图表,直到第6顺序.
主要成果:
- 建立了不等式和不等式保持的必要条件.
- 证明,对于一个正距离自值的图,不等式总是满足.
- 证明不等式适用于完整的二分位图.
- 介绍了小序图的计算发现.
结论:
- 这项研究为对不同图形能量进行比较分析提供了重要的见解.
- 由此得出的条件和证明的不等式有助于理解光谱图的特性.
- 这些发现为进一步研究图形能量理论及其应用提供了基础.
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