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

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Author list: Hafsah Tabassuma, Pawaton Kaemawichanurat, Adeela, and Nathakhun Wiroonsri

Publication year: 2023

Journal acronym: MATCH

Volume number: 90

Issue number: 3

Start page: 743

End page: 763

Number of pages: 21

ISSN: 0340-6253

URL: https://match.pmf.kg.ac.rs/issues/m90n3/m90n3_743-763.html

Languages: English-United States (EN-US)


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Abstract

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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Last updated on 2023-17-10 at 07:37