Upper and lower bounds for topological indices on unicyclic graphs

The aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graphs with respect to them. This family includes variable first Zagreb, variable sum exdeg, multiplicative second Zagreb and...

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Detalles Bibliográficos
Autores: Matínez Pérez, Álvaro, Rodríguez, José Manuel, Fernández Morales, Francisco Jesús
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universidad de Castilla-La Mancha
Repositorio:RUIdeRA. Repositorio Institucional de la UCLM
OAI Identifier:oai:ruidera.uclm.es:10578/36539
Acceso en línea:https://hdl.handle.net/10578/36539
Access Level:acceso abierto
Palabra clave:Variable first Zagreb index
Variable sum exdeg index
Multiplicative second Zagreb index
Narumi-Katayama index
Unicyclic graphs
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spelling Upper and lower bounds for topological indices on unicyclic graphsMatínez Pérez, ÁlvaroRodríguez, José ManuelFernández Morales, Francisco JesúsVariable first Zagreb indexVariable sum exdeg indexMultiplicative second Zagreb indexNarumi-Katayama indexUnicyclic graphsThe aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graphs with respect to them. This family includes variable first Zagreb, variable sum exdeg, multiplicative second Zagreb and Narumi-Katayama indices. Our main results provide upper and lower bounds for these topological indices on unicyclic graphs, fixing or not the maximum degree or the number of pendant vertices.Elsevier202420242023info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/10578/36539reponame:RUIdeRA. Repositorio Institucional de la UCLMinstname:Universidad de Castilla-La ManchaInglésPGC2018-098321-B-I00PID2021-126124NB-I00PID2019-106433GB-I00 / AEI / 10.13039/501100011033EPUC3M23info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/oai:ruidera.uclm.es:10578/365392026-05-27T07:36:41Z
dc.title.none.fl_str_mv Upper and lower bounds for topological indices on unicyclic graphs
title Upper and lower bounds for topological indices on unicyclic graphs
spellingShingle Upper and lower bounds for topological indices on unicyclic graphs
Matínez Pérez, Álvaro
Variable first Zagreb index
Variable sum exdeg index
Multiplicative second Zagreb index
Narumi-Katayama index
Unicyclic graphs
title_short Upper and lower bounds for topological indices on unicyclic graphs
title_full Upper and lower bounds for topological indices on unicyclic graphs
title_fullStr Upper and lower bounds for topological indices on unicyclic graphs
title_full_unstemmed Upper and lower bounds for topological indices on unicyclic graphs
title_sort Upper and lower bounds for topological indices on unicyclic graphs
dc.creator.none.fl_str_mv Matínez Pérez, Álvaro
Rodríguez, José Manuel
Fernández Morales, Francisco Jesús
author Matínez Pérez, Álvaro
author_facet Matínez Pérez, Álvaro
Rodríguez, José Manuel
Fernández Morales, Francisco Jesús
author_role author
author2 Rodríguez, José Manuel
Fernández Morales, Francisco Jesús
author2_role author
author
dc.subject.none.fl_str_mv Variable first Zagreb index
Variable sum exdeg index
Multiplicative second Zagreb index
Narumi-Katayama index
Unicyclic graphs
topic Variable first Zagreb index
Variable sum exdeg index
Multiplicative second Zagreb index
Narumi-Katayama index
Unicyclic graphs
description The aim of this paper is to obtain new inequalities for a large family of topological indices restricted to unicyclic graphs and to characterize the set of extremal unicyclic graphs with respect to them. This family includes variable first Zagreb, variable sum exdeg, multiplicative second Zagreb and Narumi-Katayama indices. Our main results provide upper and lower bounds for these topological indices on unicyclic graphs, fixing or not the maximum degree or the number of pendant vertices.
publishDate 2023
dc.date.none.fl_str_mv 2023
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/10578/36539
url https://hdl.handle.net/10578/36539
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv PGC2018-098321-B-I00
PID2021-126124NB-I00
PID2019-106433GB-I00 / AEI / 10.13039/501100011033
EPUC3M23
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:RUIdeRA. Repositorio Institucional de la UCLM
instname:Universidad de Castilla-La Mancha
instname_str Universidad de Castilla-La Mancha
reponame_str RUIdeRA. Repositorio Institucional de la UCLM
collection RUIdeRA. Repositorio Institucional de la UCLM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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