树的普通能量、拉普拉斯能量、兰迪奇能量、发生率能量和Sombor能量之间的关系

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-07-01 DOI:10.46793/match.90-3.743t

Hafsa Tabassum, P. Kaemawichanurat, A. Adeela, Nathakhun Wiroonsri

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引用次数: 0

摘要

图的邻接矩阵的特征值的绝对值的和被称为它的普通能量。基于一系列其他图矩阵的特征值，考虑了其他几种等效能量。在这项工作中，我们考虑了普通能量、拉普拉斯能量、Randi能量、发生率和Sombor能量，并使用多项式回归分析了它们之间的关系。每个模型的性能都非常出色，交叉验证的RMSE大多低于1。

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Relationship between Ordinary, Laplacian, Randić, Incidence, and Sombor Energies of Trees

The sum of the absolute values of the eigenvalues of the graph’s adjacency matrix is known as its ordinary energy. Based on the eigenvalues of a range of other graph matrices, several other equivalent energies are being considered. In this work, we considered ordinary energy, Laplacian, Randi´c, incidence, and Sombor energy to analyze their relationship using polynomial regression. The performance of each model is exceptional with cross-validation RMSE mostly below 1.

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来源期刊

Match-Communications in Mathematical and in Computer Chemistry 化学-化学综合

CiteScore

4.40

自引率

26.90%

发文量

审稿时长

2 months

期刊介绍： MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.