New bounds for the signless Laplacian spread

Bibliographic Details
Main Author: Andrade, Enide
Publication Date: 2019
Other Authors: Dahl, Geir, Leal, Laura, Robbiano, María
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/25061
Summary: Let $G$ be an undirected simple graph. The signless Laplacian spread of $G$ is defined as the maximum distance of pairs of its signless Laplacian eigenvalues. This paper establishes some new bounds, both lower and upper, for the signless Laplacian spread. Several of these bounds depend on invariant parameters of the graph. We also use a minmax principle to find several lower bounds for this spectral invariant.
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spelling New bounds for the signless Laplacian spreadMatrix spreadSignless Laplacian spreadSignless Laplacian matrixLet $G$ be an undirected simple graph. The signless Laplacian spread of $G$ is defined as the maximum distance of pairs of its signless Laplacian eigenvalues. This paper establishes some new bounds, both lower and upper, for the signless Laplacian spread. Several of these bounds depend on invariant parameters of the graph. We also use a minmax principle to find several lower bounds for this spectral invariant.Elsevier2019-042019-04-01T00:00:00Z2020-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/25061eng0024-379510.1016/j.laa.2018.12.019Andrade, EnideDahl, GeirLeal, LauraRobbiano, Maríainfo: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:RCAAP2024-05-06T04:18:37Zoai:ria.ua.pt:10773/25061Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T14:04:05.974617Repositórios 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 New bounds for the signless Laplacian spread
title New bounds for the signless Laplacian spread
spellingShingle New bounds for the signless Laplacian spread
Andrade, Enide
Matrix spread
Signless Laplacian spread
Signless Laplacian matrix
title_short New bounds for the signless Laplacian spread
title_full New bounds for the signless Laplacian spread
title_fullStr New bounds for the signless Laplacian spread
title_full_unstemmed New bounds for the signless Laplacian spread
title_sort New bounds for the signless Laplacian spread
author Andrade, Enide
author_facet Andrade, Enide
Dahl, Geir
Leal, Laura
Robbiano, María
author_role author
author2 Dahl, Geir
Leal, Laura
Robbiano, María
author2_role author
author
author
dc.contributor.author.fl_str_mv Andrade, Enide
Dahl, Geir
Leal, Laura
Robbiano, María
dc.subject.por.fl_str_mv Matrix spread
Signless Laplacian spread
Signless Laplacian matrix
topic Matrix spread
Signless Laplacian spread
Signless Laplacian matrix
description Let $G$ be an undirected simple graph. The signless Laplacian spread of $G$ is defined as the maximum distance of pairs of its signless Laplacian eigenvalues. This paper establishes some new bounds, both lower and upper, for the signless Laplacian spread. Several of these bounds depend on invariant parameters of the graph. We also use a minmax principle to find several lower bounds for this spectral invariant.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
2019-04-01T00:00:00Z
2020-05-01T00:00:00Z
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/10773/25061
url http://hdl.handle.net/10773/25061
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0024-3795
10.1016/j.laa.2018.12.019
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
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
_version_ 1833594258850840576

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