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科格拉夫的索博尔特征值
Zahid Raza1, Bilal Ahmad Rather1,2, Muhammad Imran3
1Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates.
Heliyon
|October 21, 2024
概括
这项研究调查了一个独特的类型的cographs,计算他们的Sombor光谱,光谱半径,和边界的Sombor指数和能量. 它还具有简单或独特的特征值的标记.
科学领域:
- 图形理论是指图形的理论.
- 谱图理论的谱图理论.
- 组合学是一种组合学.
背景情况:
- 图形构成一个独特的图形类,具有特定的递归定义.
- 谱图理论利用与图相关联的矩阵的固有值来理解它们的属性.
- 索博尔指数和索博尔能量是图形变量,在化学和网络分析中具有应用.
研究的目的:
- 分析一个特定的复制类的cographs.
- 计算索博尔光谱,光谱半径和索博尔指数和这些电图的能量边界.
- 根据其Sombor特征值的简单性或独特性来表征cographs.
主要方法:
- 对cograph类的递归定义.
- 计算索博尔相邻矩阵的计算.
- 自身价值分析以确定索博尔光谱和相关的不变量.
- 对图表指数和能源的尖边界的导出.
- 基于光谱属性的表征.
主要成果:
- 索博尔光谱,光谱半径和索博尔指数和能量的边界被确定为研究的cograph类.
- 确定了实现Sombor能量所确定的不等式的图形.
- 具有简单和独特的Sombor特征值的Cographs得到了充分的特征.
结论:
- 这种独特的cograph类的光谱特性被全面分析.
- 该研究提供了对图形理论中索博尔光谱不变数的更深入的理解.
- 鉴定提供了根据它们的光谱特征来识别特定类型的表谱的标准.
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