Vertex-degree-based topological indices over trees with two branching vertices

ABSTRACT: Given a graph G with n vertices, a vertex-degree-based topological index is defined from a set of real numbers {φij} as T I (G) = Pmij (G) φij , where mij (G) is the number of edges between vertices of degree i and degree j, and the sum runs over all 1 ≤ i ≤ j ≤ n − 1. Let Ω (n, 2) denote...

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Autores:
Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
Marín Arango, Carlos Alberto
Tipo de recurso:
Article of investigation
Fecha de publicación:
2019
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/39511
Acceso en línea:
https://hdl.handle.net/10495/39511
Palabra clave:
Vertex operator algebras
índice topológico
http://id.loc.gov/authorities/subjects/sh88005699
Rights
openAccess
License
https://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv Vertex-degree-based topological indices over trees with two branching vertices
title Vertex-degree-based topological indices over trees with two branching vertices
spellingShingle Vertex-degree-based topological indices over trees with two branching vertices
Vertex operator algebras
índice topológico
http://id.loc.gov/authorities/subjects/sh88005699
title_short Vertex-degree-based topological indices over trees with two branching vertices
title_full Vertex-degree-based topological indices over trees with two branching vertices
title_fullStr Vertex-degree-based topological indices over trees with two branching vertices
title_full_unstemmed Vertex-degree-based topological indices over trees with two branching vertices
title_sort Vertex-degree-based topological indices over trees with two branching vertices
dc.creator.fl_str_mv Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
Marín Arango, Carlos Alberto
dc.contributor.author.none.fl_str_mv Cruz Rodes, Roberto
Rada Rincón, Juan Pablo
Marín Arango, Carlos Alberto
dc.contributor.researchgroup.spa.fl_str_mv Álgebra U de A
dc.subject.lcsh.none.fl_str_mv Vertex operator algebras
topic Vertex operator algebras
índice topológico
http://id.loc.gov/authorities/subjects/sh88005699
dc.subject.proposal.spa.fl_str_mv índice topológico
dc.subject.lcshuri.none.fl_str_mv http://id.loc.gov/authorities/subjects/sh88005699
description ABSTRACT: Given a graph G with n vertices, a vertex-degree-based topological index is defined from a set of real numbers {φij} as T I (G) = Pmij (G) φij , where mij (G) is the number of edges between vertices of degree i and degree j, and the sum runs over all 1 ≤ i ≤ j ≤ n − 1. Let Ω (n, 2) denote the set of all trees with n vertices and 2 branching vertices. In this paper we give conditions on the number {φij} under which the extremal trees with respect to T I can be determined. As a consequence, we find extremal trees in Ω (n, 2) for several well-known vertex-degree- based topological indices.
publishDate 2019
dc.date.issued.none.fl_str_mv 2019
dc.date.accessioned.none.fl_str_mv 2024-05-31T23:50:12Z
dc.date.available.none.fl_str_mv 2024-05-31T23:50:12Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.citation.spa.fl_str_mv Bermudo, Sergio & Cruz, Roberto & Rada, Juan. (2022). Vertex-degree-based topological indices of oriented trees. Applied Mathematics and Computation. 433. 127395. 10.1016/j.amc.2022.127395.
dc.identifier.issn.none.fl_str_mv 1450-9628
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/39511
dc.identifier.doi.none.fl_str_mv 10.1016/j.amc.2022.127395
dc.identifier.eissn.none.fl_str_mv 2406-3045
identifier_str_mv Bermudo, Sergio & Cruz, Roberto & Rada, Juan. (2022). Vertex-degree-based topological indices of oriented trees. Applied Mathematics and Computation. 433. 127395. 10.1016/j.amc.2022.127395.
1450-9628
10.1016/j.amc.2022.127395
2406-3045
url https://hdl.handle.net/10495/39511
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournalabbrev.spa.fl_str_mv Kragujev. J. Math.
dc.relation.citationendpage.spa.fl_str_mv 411
dc.relation.citationissue.spa.fl_str_mv 3
dc.relation.citationstartpage.spa.fl_str_mv 399
dc.relation.citationvolume.spa.fl_str_mv 43
dc.relation.ispartofjournal.spa.fl_str_mv Kragujevac Journal of Mathematics
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dc.format.extent.spa.fl_str_mv 13 páginas
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dc.publisher.spa.fl_str_mv Universidad de Kragujevac, Facultad de Ciencias
dc.publisher.place.spa.fl_str_mv Kragujevac, Serbia
institution Universidad de Antioquia
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spelling Cruz Rodes, RobertoRada Rincón, Juan PabloMarín Arango, Carlos AlbertoÁlgebra U de A2024-05-31T23:50:12Z2024-05-31T23:50:12Z2019Bermudo, Sergio & Cruz, Roberto & Rada, Juan. (2022). Vertex-degree-based topological indices of oriented trees. Applied Mathematics and Computation. 433. 127395. 10.1016/j.amc.2022.127395.1450-9628https://hdl.handle.net/10495/3951110.1016/j.amc.2022.1273952406-3045ABSTRACT: Given a graph G with n vertices, a vertex-degree-based topological index is defined from a set of real numbers {φij} as T I (G) = Pmij (G) φij , where mij (G) is the number of edges between vertices of degree i and degree j, and the sum runs over all 1 ≤ i ≤ j ≤ n − 1. Let Ω (n, 2) denote the set of all trees with n vertices and 2 branching vertices. In this paper we give conditions on the number {φij} under which the extremal trees with respect to T I can be determined. As a consequence, we find extremal trees in Ω (n, 2) for several well-known vertex-degree- based topological indices.COL008689613 páginasapplication/pdfengUniversidad de Kragujevac, Facultad de CienciasKragujevac, Serbiahttps://creativecommons.org/licenses/by-nc-nd/4.0/http://creativecommons.org/licenses/by-nc-nd/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vertex operator algebrasíndice topológicohttp://id.loc.gov/authorities/subjects/sh88005699Vertex-degree-based topological indices over trees with two branching verticesArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionKragujev. J. 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