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链图的索博尔光谱的链图
Muhammad Imran1, Bilal Ahmad Rather1
1Mathematical Sciences Department, College of Science, United Arab Emirate University, Al Ain 15551, Abu Dhabi, United Arab Emirates.
Heliyon
|August 4, 2023
概括
本研究提出了链图的索博尔索引公式,并分析了它们的索博尔光谱属性,包括自身值和边界. 它根据它们的索博尔固有值和扩散来表征特定的链图.
科学领域:
- 图形理论 图形理论
- 数学化学 数学化学
- 谱图理论 谱图理论
背景情况:
- 索博尔指数是一个在数学化学中使用的图形不变量.
- 了解图形的光谱属性对于分析它们的结构和行为至关重要.
- 链式图形是一种基本的图形类别,具有多样化的应用.
研究的目的:
- 为了获得链图的索博尔索引的明确公式.
- 调查索博尔光谱属性,包括固有值及其边界.
- 根据它们的索博尔固有值和相关参数来描述链图.
主要方法:
- 对图形不变数的分析公式的推导.
- 图形矩阵的光谱分析.
- 基于光谱属性的图形类的表征.
主要成果:
- 建立了一个连锁图的索博尔索引的明确公式.
- 分析了链图的索博尔固有值,为最大和最小提供了边界.
- 具有简单索博尔固有值的链图的特征是.
- 对于Frobenius规范和Sombor系数矩阵的决定数的公式是导出的.
- 介绍了Sombor传播和Sombor能量的极限.
结论:
- 该研究提供了对索博尔指数和链图的光谱性质的全面分析.
- 这些发现有助于理解图形不变量及其光谱特征.
- 这些表征提供了对链图类中的特定结构的见解.
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