A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming
Autor(a) principal: | |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
repository.mail.fl_str_mv |
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1799137556558774272 |