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Algorithmic strategies for the recognition of graphs with convex quadratic stability number

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Resumo:A major difficulty in the recognition of graphs with convex quadratic stability number is the existence of adverse subgraphs (an adverse subgraph is a subgraph such that the smallest eigenvalue of its adjacency matrix doesn’t change when any vertex or the neighbourhood of any vertex is deleted). It is a challenge to find adverse graphs without convex quadratic stability number. We present the main results about graphs with convex quadratic stability number and conclusions about the existence of adverse subgraphs belonging to this family in certain classes of graphs.
Autores principais:Pacheco, Maria F.
Outros Autores:Luz, Carlos J.; Cardoso, Domingos M.
Assunto:Convex optimization Combinatorial optimization
Ano:2010
País:Portugal
Tipo de documento:documento de conferência
Tipo de acesso:acesso aberto
Instituição associada:Instituto Politécnico de Bragança
Idioma:inglês
Origem:Biblioteca Digital do IPB
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author Pacheco, Maria F.
author2 Luz, Carlos J.
Cardoso, Domingos M.
author2_role author
author
author_facet Pacheco, Maria F.
Luz, Carlos J.
Cardoso, Domingos M.
author_role author
contributor_name_str_mv Biblioteca Digital do IPB
country_str PT
creators_json_txt [{\"Person.name\":\"Pacheco, Maria F.\",\"Person.identifier.orcid\":\"0000-0001-7915-0391\"},{\"Person.name\":\"Luz, Carlos J.\"},{\"Person.name\":\"Cardoso, Domingos M.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv Biblioteca Digital do IPB
datacite.creators.creator.creatorName.fl_str_mv Pacheco, Maria F.
Luz, Carlos J.
Cardoso, Domingos M.
datacite.date.Accepted.fl_str_mv 2010-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2011-06-03T09:44:18Z
datacite.date.embargoed.fl_str_mv 2011-06-03T09:44:18Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Convex optimization
Combinatorial optimization
datacite.titles.title.fl_str_mv Algorithmic strategies for the recognition of graphs with convex quadratic stability number
dc.contributor.none.fl_str_mv Biblioteca Digital do IPB
dc.creator.none.fl_str_mv Pacheco, Maria F.
Luz, Carlos J.
Cardoso, Domingos M.
dc.date.Accepted.fl_str_mv 2010-01-01T00:00:00Z
dc.date.available.fl_str_mv 2011-06-03T09:44:18Z
dc.date.embargoed.fl_str_mv 2011-06-03T09:44:18Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv http://hdl.handle.net/10198/4962
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Hélder Rodrigues et al
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Convex optimization
Combinatorial optimization
dc.title.fl_str_mv Algorithmic strategies for the recognition of graphs with convex quadratic stability number
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_c94f
description A major difficulty in the recognition of graphs with convex quadratic stability number is the existence of adverse subgraphs (an adverse subgraph is a subgraph such that the smallest eigenvalue of its adjacency matrix doesn’t change when any vertex or the neighbourhood of any vertex is deleted). It is a challenge to find adverse graphs without convex quadratic stability number. We present the main results about graphs with convex quadratic stability number and conclusions about the existence of adverse subgraphs belonging to this family in certain classes of graphs.
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eu_rights_str_mv openAccess
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fulltext.url.fl_str_mv https://bibliotecadigital.ipb.pt/bitstreams/80e7db47-b669-4ad3-b278-fe0a1c427b35/download
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identifier.url.fl_str_mv http://hdl.handle.net/10198/4962
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institution Instituto Politécnico de Bragança
instname_str Instituto Politécnico de Bragança
language eng
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network_name_str Biblioteca Digital do IPB
oai_identifier_str oai:bibliotecadigital.ipb.pt:10198/4962
organization_str_mv urn:organizationAcronym:ipb
person_str_mv Pacheco, Maria F.
Pacheco, Maria F.
https://www.ciencia-id.pt/F319-DAC3-8F15
F319-DAC3-8F15
http://orcid.org/0000-0001-7915-0391
0000-0001-7915-0391
Luz, Carlos J.
Cardoso, Domingos M.
publishDate 2010
publisher.none.fl_str_mv Hélder Rodrigues et al
reponame_str Biblioteca Digital do IPB
repository_id_str urn:repositoryAcronym:ipb
service_str_mv urn:repositoryAcronym:ipb
spelling engHélder Rodrigues et alporA major difficulty in the recognition of graphs with convex quadratic stability number is the existence of adverse subgraphs (an adverse subgraph is a subgraph such that the smallest eigenvalue of its adjacency matrix doesn’t change when any vertex or the neighbourhood of any vertex is deleted). It is a challenge to find adverse graphs without convex quadratic stability number. We present the main results about graphs with convex quadratic stability number and conclusions about the existence of adverse subgraphs belonging to this family in certain classes of graphs.application/pdfporAlgorithmic strategies for the recognition of graphs with convex quadratic stability numberPersonalPacheco, Maria F.DSpacehttp://dspace.org/items/e56596ca-3238-4fde-ace1-abb363a222e8DSpacehttp://dspace.org/items/e56596ca-3238-4fde-ace1-abb363a222e8PachecoMaria F.Ciência IDhttps://www.ciencia-id.ptF319-DAC3-8F15ORCIDhttp://orcid.org0000-0001-7915-0391Scopus Author IDhttps://www.scopus.com36802474600Luz, Carlos J.Cardoso, Domingos M.HostingInstitutionOrganizationalBiblioteca Digital do IPBe-mailmailto:dspace@ipb.ptdspace@ipb.ptISBNIsPartOf978-989-96264-3-02011-06-03T09:44:18Z20102010-01-01T00:00:00ZHandlehttp://hdl.handle.net/10198/4962http://purl.org/coar/access_right/c_abf2open accessConvex optimizationCombinatorial optimization327499 bytesother research producthttp://purl.org/coar/resource_type/c_c94fconference objecthttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://bibliotecadigital.ipb.pt/bitstreams/80e7db47-b669-4ad3-b278-fe0a1c427b35/download2nd International Conference on Engineering OptimizationIST, Lisboa
spellingShingle Algorithmic strategies for the recognition of graphs with convex quadratic stability number
Pacheco, Maria F.
Convex optimization
Combinatorial optimization
status SINGLETON
subject.fl_str_mv Convex optimization
Combinatorial optimization
title Algorithmic strategies for the recognition of graphs with convex quadratic stability number
title_full Algorithmic strategies for the recognition of graphs with convex quadratic stability number
title_fullStr Algorithmic strategies for the recognition of graphs with convex quadratic stability number
title_full_unstemmed Algorithmic strategies for the recognition of graphs with convex quadratic stability number
title_short Algorithmic strategies for the recognition of graphs with convex quadratic stability number
title_sort Algorithmic strategies for the recognition of graphs with convex quadratic stability number
topic Convex optimization
Combinatorial optimization
topic_facet Convex optimization
Combinatorial optimization
url http://hdl.handle.net/10198/4962
visible 1