几个扎格勒布指数的有限的非阿贝尔群的功率图的指数
Rashad Ismail1, Fawad Ali2, Rakhshanda Qasim3
1Department of Mathematics, Faculty of Science and Arts, King Khalid University, Muhayl Assir 61913, Saudi Arabia.
Heliyon
|October 9, 2023
概括
本研究计算了有限群的功率图的基于度的拓指数. 确定周期性,非周期性,二面体和四面体组的萨格勒布关键指数.
科学领域:
- 化学图形理论 化学图形理论
- 抽象代数的抽象代数.
- 数学化学是数学化学的一个方面.
背景情况:
- 拓指数量化分子结构和预测属性.
- 权力图表示有限的群体,边缘表示权力关系.
- 了解这些图形属性可以揭示对组结构的洞察力.
研究的目的:
- 调查有限群的功率图的基于度的拓描述符.
- 为特定类型的有限群计算各种萨格勒布索引.
主要方法:
- 使用图形理论定义用于权力图.
- 应用已建立的公式以度为基础的拓索引.
- 计算特定的指数,如不同组类的萨格勒布指数.
主要成果:
- 确定了有限循环和非循环群的功率图的众多萨格勒布指数.
- 对二面体和广义四面体群的功率图的计算萨格勒布指数.
结论:
- 该研究提供了对电位图中的拓指数的全面分析.
- 这些发现有助于通过图形理论属性对代数结构的理解.
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