Upper bounds on the Laplacian spread of graphs

Detalhes bibliográficos
Autor(a) principal: Andrade, Enide
Data de Publicação: 2016
Outros Autores: Gomes, Helena, Robbiano, Maria, Rodrigues, Jonnathan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15058
Resumo: The Laplacian spread of a graph $G$ is defined as the difference between the largest and the second smallest eigenvalue of the Laplacian matrix of $G$. In this work, an upper bound for this graph invariant, that depends on first Zagreb index, is given. Moreover, another upper bound is obtained and expressed as a function of the nonzero coefficients of the Laplacian characteristic polynomial of a graph.
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spelling Upper bounds on the Laplacian spread of graphsGraphsLaplacian MatrixMatrix spreadLaplacian SpreadThe Laplacian spread of a graph $G$ is defined as the difference between the largest and the second smallest eigenvalue of the Laplacian matrix of $G$. In this work, an upper bound for this graph invariant, that depends on first Zagreb index, is given. Moreover, another upper bound is obtained and expressed as a function of the nonzero coefficients of the Laplacian characteristic polynomial of a graph.Elsevier2018-07-20T14:00:51Z2016-03-01T00:00:00Z2016-03-012017-03-01T10:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15058eng0024-379510.1016/j.laa.2015.11.010Andrade, EnideGomes, HelenaRobbiano, MariaRodrigues, Jonnathaninfo: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:RCAAP2024-02-22T11:27:39Zoai:ria.ua.pt:10773/15058Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:27.420988Repositório 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 Upper bounds on the Laplacian spread of graphs
title Upper bounds on the Laplacian spread of graphs
spellingShingle Upper bounds on the Laplacian spread of graphs
Andrade, Enide
Graphs
Laplacian Matrix
Matrix spread
Laplacian Spread
title_short Upper bounds on the Laplacian spread of graphs
title_full Upper bounds on the Laplacian spread of graphs
title_fullStr Upper bounds on the Laplacian spread of graphs
title_full_unstemmed Upper bounds on the Laplacian spread of graphs
title_sort Upper bounds on the Laplacian spread of graphs
author Andrade, Enide
author_facet Andrade, Enide
Gomes, Helena
Robbiano, Maria
Rodrigues, Jonnathan
author_role author
author2 Gomes, Helena
Robbiano, Maria
Rodrigues, Jonnathan
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade, Enide
Gomes, Helena
Robbiano, Maria
Rodrigues, Jonnathan
dc.subject.por.fl_str_mv Graphs
Laplacian Matrix
Matrix spread
Laplacian Spread
topic Graphs
Laplacian Matrix
Matrix spread
Laplacian Spread
description The Laplacian spread of a graph $G$ is defined as the difference between the largest and the second smallest eigenvalue of the Laplacian matrix of $G$. In this work, an upper bound for this graph invariant, that depends on first Zagreb index, is given. Moreover, another upper bound is obtained and expressed as a function of the nonzero coefficients of the Laplacian characteristic polynomial of a graph.
publishDate 2016
dc.date.none.fl_str_mv 2016-03-01T00:00:00Z
2016-03-01
2017-03-01T10:00:00Z
2018-07-20T14:00:51Z
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/10773/15058
url http://hdl.handle.net/10773/15058
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2015.11.010
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.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
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