Spectra and Randic Spectra of Caterpillar Graphs and Applications to the Energy

Bibliographic Details
Main Author: Andrade, Enide
Publication Date: 2017
Other Authors: Gomes, Helena Margarida dos Santos Vasconcelos, Robbiano, María
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.19/4550
Summary: Let H be an undirected simple graph with vertices v_1,...,v_k and G_1,...,G_k be a sequence formed with k disjoint graphs G_i,i=1,...,k. The H-generalized composition (or H-join) of this sequence is denoted by H[G_1,...,G_k]. 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,...,v_k and G_1,...,G_k be a sequence formed with k disjoint graphs G_i,i=1,...,k. The H-generalized composition (or H-join) of this sequence is denoted by H[G_1,...,G_k]. 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.Instituto Politécnico de ViseuAndrade, EnideGomes, Helena Margarida dos Santos VasconcelosRobbiano, María2017-04-07T13:21:11Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.19/4550eng0340-6253http://match.pmf.kg.ac.rs/electronic_versions/Match77/n1/match77n1_61-75.pdfinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-03-06T14:04:47Zoai:repositorio.ipv.pt:10400.19/4550Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:15:31.962750Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
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 Margarida dos Santos Vasconcelos
Robbiano, María
author_role author
author2 Gomes, Helena Margarida dos Santos Vasconcelos
Robbiano, María
author2_role author
author
dc.contributor.none.fl_str_mv Instituto Politécnico de Viseu
dc.contributor.author.fl_str_mv Andrade, Enide
Gomes, Helena Margarida dos Santos Vasconcelos
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,...,v_k and G_1,...,G_k be a sequence formed with k disjoint graphs G_i,i=1,...,k. The H-generalized composition (or H-join) of this sequence is denoted by H[G_1,...,G_k]. 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 2017-04-07T13:21:11Z
2017
2017-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.19/4550
url http://hdl.handle.net/10400.19/4550
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0340-6253
http://match.pmf.kg.ac.rs/electronic_versions/Match77/n1/match77n1_61-75.pdf
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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