Sombor spectra of chain graphs

We study the Sombor index and the Sombor spectral properties of chain graphs. In particular, an explicit formula for the Sombor index is given, the Sombor eigenvalues are discussed, bounds on the largest and the smallest Sombor eigenvalues are presented, chain graphs with the simple Sombor eigenvalu...

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Detalles Bibliográficos
Autores principales: Imran, Muhammad, Rather, Bilal Ahmad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10395351/
https://www.ncbi.nlm.nih.gov/pubmed/37539176
http://dx.doi.org/10.1016/j.heliyon.2023.e18135
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author Imran, Muhammad
Rather, Bilal Ahmad
author_facet Imran, Muhammad
Rather, Bilal Ahmad
author_sort Imran, Muhammad
collection PubMed
description We study the Sombor index and the Sombor spectral properties of chain graphs. In particular, an explicit formula for the Sombor index is given, the Sombor eigenvalues are discussed, bounds on the largest and the smallest Sombor eigenvalues are presented, chain graphs with the simple Sombor eigenvalue are characterized, formulae for the Frobenius norm and the determinant of the Sombor quotient matrix of chain graphs are given, the Sombor spread bound and the Sombor energy bounds are presented along with the characterization of graphs attaining them.
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spelling pubmed-103953512023-08-03 Sombor spectra of chain graphs Imran, Muhammad Rather, Bilal Ahmad Heliyon Research Article We study the Sombor index and the Sombor spectral properties of chain graphs. In particular, an explicit formula for the Sombor index is given, the Sombor eigenvalues are discussed, bounds on the largest and the smallest Sombor eigenvalues are presented, chain graphs with the simple Sombor eigenvalue are characterized, formulae for the Frobenius norm and the determinant of the Sombor quotient matrix of chain graphs are given, the Sombor spread bound and the Sombor energy bounds are presented along with the characterization of graphs attaining them. Elsevier 2023-07-13 /pmc/articles/PMC10395351/ /pubmed/37539176 http://dx.doi.org/10.1016/j.heliyon.2023.e18135 Text en © 2023 The Author(s) https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Imran, Muhammad
Rather, Bilal Ahmad
Sombor spectra of chain graphs
title Sombor spectra of chain graphs
title_full Sombor spectra of chain graphs
title_fullStr Sombor spectra of chain graphs
title_full_unstemmed Sombor spectra of chain graphs
title_short Sombor spectra of chain graphs
title_sort sombor spectra of chain graphs
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10395351/
https://www.ncbi.nlm.nih.gov/pubmed/37539176
http://dx.doi.org/10.1016/j.heliyon.2023.e18135
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