Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number

Detalhes bibliográficos
Autor(a) principal: Cardoso, Domingos M.
Data de Publicação: 2006
Outros Autores: Cvetkovic, D.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/4441
Resumo: In this paper we study the conditions under which the stability number of line graphs, generalized line graphs and exceptional graphs attains a convex quadratic programming upper bound. In regular graphs this bound is reduced to the well known Hoffman bound. Some vertex subsets inducing subgraphs with regularity properties are analyzed. Based on an observation concerning the Hoffman bound a new construction of regular exceptional graphs is provided.
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spelling Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability numberGraph theoryGraph spectraLine graphQuadratic programmingStability numberIn this paper we study the conditions under which the stability number of line graphs, generalized line graphs and exceptional graphs attains a convex quadratic programming upper bound. In regular graphs this bound is reduced to the well known Hoffman bound. Some vertex subsets inducing subgraphs with regularity properties are analyzed. Based on an observation concerning the Hoffman bound a new construction of regular exceptional graphs is provided.Academie Serbe des Sciences et des Arts2011-11-29T11:26:24Z2006-01-01T00:00:00Z2006info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/4441eng0561-7332Cardoso, Domingos M.Cvetkovic, D.info: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:RCAAP2024-02-22T11:05:03Zoai:ria.ua.pt:10773/4441Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:42:23.557581Repositório 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 Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
title Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
spellingShingle Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
Cardoso, Domingos M.
Graph theory
Graph spectra
Line graph
Quadratic programming
Stability number
title_short Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
title_full Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
title_fullStr Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
title_full_unstemmed Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
title_sort Graphs with least eigenvalue -2 attaining a convex quadratic upper bound for the stability number
author Cardoso, Domingos M.
author_facet Cardoso, Domingos M.
Cvetkovic, D.
author_role author
author2 Cvetkovic, D.
author2_role author
dc.contributor.author.fl_str_mv Cardoso, Domingos M.
Cvetkovic, D.
dc.subject.por.fl_str_mv Graph theory
Graph spectra
Line graph
Quadratic programming
Stability number
topic Graph theory
Graph spectra
Line graph
Quadratic programming
Stability number
description In this paper we study the conditions under which the stability number of line graphs, generalized line graphs and exceptional graphs attains a convex quadratic programming upper bound. In regular graphs this bound is reduced to the well known Hoffman bound. Some vertex subsets inducing subgraphs with regularity properties are analyzed. Based on an observation concerning the Hoffman bound a new construction of regular exceptional graphs is provided.
publishDate 2006
dc.date.none.fl_str_mv 2006-01-01T00:00:00Z
2006
2011-11-29T11:26:24Z
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/10773/4441
url http://hdl.handle.net/10773/4441
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0561-7332
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 Academie Serbe des Sciences et des Arts
publisher.none.fl_str_mv Academie Serbe des Sciences et des Arts
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
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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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