Relating graph energy with vertex-degree-based energies

Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants. By means of these matrices, the respective vertex-degree-based graph energies are defined as the sum of the absolute values...

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Autor principal:	Ivan Gutman
Formato:	article
Lenguaje:	EN
Publicado:	University of Defence in Belgrade 2020
Materias:	energy (of a graph) vertex-degree-based graph invariant vertex-degree-based graph energy Military Science U Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/919dbb00b0cf48bfa0562b8c52ec87db
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spelling	oai:doaj.org-article:919dbb00b0cf48bfa0562b8c52ec87db2021-12-02T11:24:35ZRelating graph energy with vertex-degree-based energies10.5937/vojtehg68-280830042-84692217-4753https://doaj.org/article/919dbb00b0cf48bfa0562b8c52ec87db2020-10-01T00:00:00Zhttps://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2020/0042-84692004715G.pdfhttps://doaj.org/toc/0042-8469https://doaj.org/toc/2217-4753Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants. By means of these matrices, the respective vertex-degree-based graph energies are defined as the sum of the absolute values of the eigenvalues. Results: The article determines the conditions under which the considered graph energies are greater or smaller than the ordinary graph energy (based on the adjacency matrix). Conclusion: The results of the paper contribute to the theory of graph energies as well as to the theory of vertex-degree-based graph invariants. Ivan GutmanUniversity of Defence in Belgradearticleenergy (of a graph)vertex-degree-based graph invariantvertex-degree-based graph energyMilitary ScienceUEngineering (General). Civil engineering (General)TA1-2040ENVojnotehnički Glasnik, Vol 68, Iss 4, Pp 715-725 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	energy (of a graph) vertex-degree-based graph invariant vertex-degree-based graph energy Military Science U Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	energy (of a graph) vertex-degree-based graph invariant vertex-degree-based graph energy Military Science U Engineering (General). Civil engineering (General) TA1-2040 Ivan Gutman Relating graph energy with vertex-degree-based energies
description	Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants. By means of these matrices, the respective vertex-degree-based graph energies are defined as the sum of the absolute values of the eigenvalues. Results: The article determines the conditions under which the considered graph energies are greater or smaller than the ordinary graph energy (based on the adjacency matrix). Conclusion: The results of the paper contribute to the theory of graph energies as well as to the theory of vertex-degree-based graph invariants.
format	article
author	Ivan Gutman
author_facet	Ivan Gutman
author_sort	Ivan Gutman
title	Relating graph energy with vertex-degree-based energies
title_short	Relating graph energy with vertex-degree-based energies
title_full	Relating graph energy with vertex-degree-based energies
title_fullStr	Relating graph energy with vertex-degree-based energies
title_full_unstemmed	Relating graph energy with vertex-degree-based energies
title_sort	relating graph energy with vertex-degree-based energies
publisher	University of Defence in Belgrade
publishDate	2020
url	https://doaj.org/article/919dbb00b0cf48bfa0562b8c52ec87db
work_keys_str_mv	AT ivangutman relatinggraphenergywithvertexdegreebasedenergies
_version_	1718395950762819584

Relating graph energy with vertex-degree-based energies

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