A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming

Detalhes bibliográficos
Autor(a) principal: Luz, Carlos J.
Data de Publicação: 2015
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15344
Resumo: For any graph $G,$ Luz and Schrijver \cite{LuzSchrijver} introduced a characterization of the Lov\'{a}sz number $\vartheta(G)$ based on convex quadratic programming. A similar characterization is now established for the weighted version of the number $\vartheta^{\prime}(G),$ independently introduced by McEliece, Rodemich, and Rumsey \cite{McElieceetal} and Schrijver \cite{Schrijver1}. Also, a class of graphs for which the weighted version of $\vartheta^{\prime}(G)$ coincides with the weighted stability number is characterized.
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spelling A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programmingLovász numberMcEliece–Rodemich–Rumsey–Schrijver numberMaximum weight stable setCombinatorial optimizationGraph theoryQuadratic programmingFor any graph $G,$ Luz and Schrijver \cite{LuzSchrijver} introduced a characterization of the Lov\'{a}sz number $\vartheta(G)$ based on convex quadratic programming. A similar characterization is now established for the weighted version of the number $\vartheta^{\prime}(G),$ independently introduced by McEliece, Rodemich, and Rumsey \cite{McElieceetal} and Schrijver \cite{Schrijver1}. Also, a class of graphs for which the weighted version of $\vartheta^{\prime}(G)$ coincides with the weighted stability number is characterized.World Scientific2018-07-20T14:00:52Z2015-12-31T00:00:00Z2015-12-312016-12-30T16:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15344eng1793-830910.1142/S1793830915500500Luz, Carlos J.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:RCAAP2024-02-22T11:28:08Zoai:ria.ua.pt:10773/15344Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:50:38.701490Repositório 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 A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
title A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
spellingShingle A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
Luz, Carlos J.
Lovász number
McEliece–Rodemich–Rumsey–Schrijver number
Maximum weight stable set
Combinatorial optimization
Graph theory
Quadratic programming
title_short A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
title_full A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
title_fullStr A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
title_full_unstemmed A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
title_sort A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
author Luz, Carlos J.
author_facet Luz, Carlos J.
author_role author
dc.contributor.author.fl_str_mv Luz, Carlos J.
dc.subject.por.fl_str_mv Lovász number
McEliece–Rodemich–Rumsey–Schrijver number
Maximum weight stable set
Combinatorial optimization
Graph theory
Quadratic programming
topic Lovász number
McEliece–Rodemich–Rumsey–Schrijver number
Maximum weight stable set
Combinatorial optimization
Graph theory
Quadratic programming
description For any graph $G,$ Luz and Schrijver \cite{LuzSchrijver} introduced a characterization of the Lov\'{a}sz number $\vartheta(G)$ based on convex quadratic programming. A similar characterization is now established for the weighted version of the number $\vartheta^{\prime}(G),$ independently introduced by McEliece, Rodemich, and Rumsey \cite{McElieceetal} and Schrijver \cite{Schrijver1}. Also, a class of graphs for which the weighted version of $\vartheta^{\prime}(G)$ coincides with the weighted stability number is characterized.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-31T00:00:00Z
2015-12-31
2016-12-30T16:00:00Z
2018-07-20T14:00:52Z
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/10773/15344
url http://hdl.handle.net/10773/15344
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1793-8309
10.1142/S1793830915500500
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 World Scientific
publisher.none.fl_str_mv World Scientific
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
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