在结构属性建模中的基于度的图形
Sourav Mondal1,2, Kinkar Chandra Das1
1Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea.
Entropy (Basel, Switzerland)
|July 29, 2023
概括
本研究引入了基于二度图形 (Id,2) 的方法,用于分析分子结构. 这种来自图形理论的新测量方法,提供了对网络复杂性和分子性质的见解.
科学领域:
- 图形理论 图形理论
- 网络分析 网络分析
- 化学信息学 化学信息学
背景情况:
- 图形量化了网络复杂性和结构信息.
- 现有的以度为基础的值,特别是对于k=1的值,已经得到了很好的证明.
- 第一个扎格勒布指数,一个图形不变数,与公式中的分母有关.
研究的目的:
- 介绍和研究基于二度的图形 (Id,2).
- 探索Id,2在建模分子结构与属性关系中的实用性.
- 扩大基于度的图表输入的应用.
主要方法:
- 基于k度的图形的定义:Id,k(G) = -(dG(vi) ^k) /(dG(vj) ^k) * log((dG(vi) ^k) /(dG(vj) ^k)).
- 专注于基于二度的具体情况k=2.
- 在分子结构分析中应用Id,2.
主要成果:
- 拟议的二度 (Id,2) 正式定义.
- 该研究确立了Id,2作为结构属性建模的潜在有价值的工具.
- 突出了Id,2和分子复杂性之间的关系.
结论:
- 基于二度图形 (Id,2) 为网络和分子分析提供了一个新的度量.
- Id,2为了解分子结构与性质关系提供了一个新的途径.
- 对Id,2及其应用的进一步研究是有必要的.
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