Spectra and Randic spectra of caterpillar graphs and applications to the energy

Detalhes bibliográficos
Autor(a) principal: Andrade, Enide
Data de Publicação: 2017
Outros Autores: Gomes, Helena, Robbiano, María
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/16629
Resumo: Let $H$ be an undirected simple graph with vertices $v_{1},\ldots ,v_{k}$ and $G_{1},\ldots ,G_{k}$ be a sequence formed with $k$ disjoint graphs $G_{i}$, $i=1,\ldots ,k$. The $H$-generalized composition (or $H$% -join) of this sequence is denoted by $H\left[ G_{1},\ldots ,G_{k}\right] .$ In this work, we characterize the caterpillar graphs as a $H$-generalized composition and we study their spectra and Randi\'{c} spectra, respectively. As an application, we obtain an improved and tight upper bound for the Energy and the Randi\'{c} energy of these interesting trees.
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spelling Spectra and Randic spectra of caterpillar graphs and applications to the energySpectral graph theoryEnergy of graphsLet $H$ be an undirected simple graph with vertices $v_{1},\ldots ,v_{k}$ and $G_{1},\ldots ,G_{k}$ be a sequence formed with $k$ disjoint graphs $G_{i}$, $i=1,\ldots ,k$. The $H$-generalized composition (or $H$% -join) of this sequence is denoted by $H\left[ G_{1},\ldots ,G_{k}\right] .$ In this work, we characterize the caterpillar graphs as a $H$-generalized composition and we study their spectra and Randi\'{c} spectra, respectively. As an application, we obtain an improved and tight upper bound for the Energy and the Randi\'{c} energy of these interesting trees.2017-01-10T12:21:38Z2017-01-01T00:00:00Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16629eng0340-6253Andrade, EnideGomes, HelenaRobbiano, Maríainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:31:06Zoai:ria.ua.pt:10773/16629Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:44.497202Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Spectra and Randic spectra of caterpillar graphs and applications to the energy
title Spectra and Randic spectra of caterpillar graphs and applications to the energy
spellingShingle Spectra and Randic spectra of caterpillar graphs and applications to the energy
Andrade, Enide
Spectral graph theory
Energy of graphs
title_short Spectra and Randic spectra of caterpillar graphs and applications to the energy
title_full Spectra and Randic spectra of caterpillar graphs and applications to the energy
title_fullStr Spectra and Randic spectra of caterpillar graphs and applications to the energy
title_full_unstemmed Spectra and Randic spectra of caterpillar graphs and applications to the energy
title_sort Spectra and Randic spectra of caterpillar graphs and applications to the energy
author Andrade, Enide
author_facet Andrade, Enide
Gomes, Helena
Robbiano, María
author_role author
author2 Gomes, Helena
Robbiano, María
author2_role author
author
dc.contributor.author.fl_str_mv Andrade, Enide
Gomes, Helena
Robbiano, María
dc.subject.por.fl_str_mv Spectral graph theory
Energy of graphs
topic Spectral graph theory
Energy of graphs
description Let $H$ be an undirected simple graph with vertices $v_{1},\ldots ,v_{k}$ and $G_{1},\ldots ,G_{k}$ be a sequence formed with $k$ disjoint graphs $G_{i}$, $i=1,\ldots ,k$. The $H$-generalized composition (or $H$% -join) of this sequence is denoted by $H\left[ G_{1},\ldots ,G_{k}\right] .$ In this work, we characterize the caterpillar graphs as a $H$-generalized composition and we study their spectra and Randi\'{c} spectra, respectively. As an application, we obtain an improved and tight upper bound for the Energy and the Randi\'{c} energy of these interesting trees.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-10T12:21:38Z
2017-01-01T00:00:00Z
2017
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16629
url http://hdl.handle.net/10773/16629
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0340-6253
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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