Bounds on the arithmetic-geometric index

The concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point of view. The aim of this paper is to obtain new bounds of the arithmetic-geometric index and characterize the extremal graphs with re...

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Detalles Bibliográficos
Autores: Rodríguez, José M., Sánchez, José L., Sigarreta, José M., Touris Lojo, Eva
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/705357
Acceso en línea:http://hdl.handle.net/10486/705357
https://dx.doi.org/10.3390/sym13040689
Access Level:acceso abierto
Palabra clave:Arithmetic-Geometric Index
Variable Zagreb Index
General Atom-Bond Connectivity Index
Symmetric Division Deg Index
Vertex-Degree-Based Topological Index
Matemáticas
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spelling Bounds on the arithmetic-geometric indexRodríguez, José M.Sánchez, José L.Sigarreta, José M.Touris Lojo, EvaArithmetic-Geometric IndexVariable Zagreb IndexGeneral Atom-Bond Connectivity IndexSymmetric Division Deg IndexVertex-Degree-Based Topological IndexMatemáticasThe concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point of view. The aim of this paper is to obtain new bounds of the arithmetic-geometric index and characterize the extremal graphs with respect to them. Several bounds are based on other indices, such as the second variable Zagreb index or the general atom-bond connectivity index), and some of them involve some parameters, such as the number of edges, the maximum degree, or the minimum degree of the graph. In most bounds, the graphs for which equality is attained are regular or biregular, or star graphsMDPIDepartamento de MatemáticasFacultad de Ciencias20212021-04-15research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/705357https://dx.doi.org/10.3390/sym13040689reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7053572026-06-23T12:46:27Z
dc.title.none.fl_str_mv Bounds on the arithmetic-geometric index
title Bounds on the arithmetic-geometric index
spellingShingle Bounds on the arithmetic-geometric index
Rodríguez, José M.
Arithmetic-Geometric Index
Variable Zagreb Index
General Atom-Bond Connectivity Index
Symmetric Division Deg Index
Vertex-Degree-Based Topological Index
Matemáticas
title_short Bounds on the arithmetic-geometric index
title_full Bounds on the arithmetic-geometric index
title_fullStr Bounds on the arithmetic-geometric index
title_full_unstemmed Bounds on the arithmetic-geometric index
title_sort Bounds on the arithmetic-geometric index
dc.creator.none.fl_str_mv Rodríguez, José M.
Sánchez, José L.
Sigarreta, José M.
Touris Lojo, Eva
author Rodríguez, José M.
author_facet Rodríguez, José M.
Sánchez, José L.
Sigarreta, José M.
Touris Lojo, Eva
author_role author
author2 Sánchez, José L.
Sigarreta, José M.
Touris Lojo, Eva
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv Arithmetic-Geometric Index
Variable Zagreb Index
General Atom-Bond Connectivity Index
Symmetric Division Deg Index
Vertex-Degree-Based Topological Index
Matemáticas
topic Arithmetic-Geometric Index
Variable Zagreb Index
General Atom-Bond Connectivity Index
Symmetric Division Deg Index
Vertex-Degree-Based Topological Index
Matemáticas
description The concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point of view. The aim of this paper is to obtain new bounds of the arithmetic-geometric index and characterize the extremal graphs with respect to them. Several bounds are based on other indices, such as the second variable Zagreb index or the general atom-bond connectivity index), and some of them involve some parameters, such as the number of edges, the maximum degree, or the minimum degree of the graph. In most bounds, the graphs for which equality is attained are regular or biregular, or star graphs
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-04-15
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/705357
https://dx.doi.org/10.3390/sym13040689
url http://hdl.handle.net/10486/705357
https://dx.doi.org/10.3390/sym13040689
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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