Spectrum and energy of the Sombor matrix

Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor matrix are obtained, from which two fundament...

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Autor principal:	Ivan Gutman
Formato:	article
Lenguaje:	EN
Publicado:	University of Defence in Belgrade 2021
Materias:	sombor matrix sombor energy sombor index vertexdegree-based graph invariant spectrum (of matrix) Military Science U Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/9eba7955635c432d83883a17e261eb94
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spelling	oai:doaj.org-article:9eba7955635c432d83883a17e261eb942021-12-02T16:27:14ZSpectrum and energy of the Sombor matrix10.5937/vojtehg69-319950042-84692217-4753https://doaj.org/article/9eba7955635c432d83883a17e261eb942021-07-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2021/0042-84692103551G.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor matrix are obtained, from which two fundamental bounds for the Sombor energy (= energy of the Sombor matrix) are established. These bounds depend on the Sombor index and on the „forgotten“ topological index. Conclusion: The results of the paper contribute to the spectral theory of the Sombor matrix, as well as to the general spectral theory of matrices associated with vertex-degree-based graph invariants. Ivan GutmanUniversity of Defence in Belgradearticlesombor matrixsombor energysombor indexvertexdegree-based graph invariantspectrum (of matrix)Military ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 69, Iss 3, Pp 551-561 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	sombor matrix sombor energy sombor index vertexdegree-based graph invariant spectrum (of matrix) Military Science U Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	sombor matrix sombor energy sombor index vertexdegree-based graph invariant spectrum (of matrix) Military Science U Engineering (General). Civil engineering (General) TA1-2040 Ivan Gutman Spectrum and energy of the Sombor matrix
description	Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor matrix are obtained, from which two fundamental bounds for the Sombor energy (= energy of the Sombor matrix) are established. These bounds depend on the Sombor index and on the „forgotten“ topological index. Conclusion: The results of the paper contribute to the spectral theory of the Sombor matrix, as well as to the general spectral theory of matrices associated with vertex-degree-based graph invariants.
format	article
author	Ivan Gutman
author_facet	Ivan Gutman
author_sort	Ivan Gutman
title	Spectrum and energy of the Sombor matrix
title_short	Spectrum and energy of the Sombor matrix
title_full	Spectrum and energy of the Sombor matrix
title_fullStr	Spectrum and energy of the Sombor matrix
title_full_unstemmed	Spectrum and energy of the Sombor matrix
title_sort	spectrum and energy of the sombor matrix
publisher	University of Defence in Belgrade
publishDate	2021
url	https://doaj.org/article/9eba7955635c432d83883a17e261eb94
work_keys_str_mv	AT ivangutman spectrumandenergyofthesombormatrix
_version_	1718384008387100672

Spectrum and energy of the Sombor matrix

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