Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph

Detalhes bibliográficos
Autor(a) principal: Leal-Duarte, António
Data de Publicação: 2004
Outros Autores: Johnson, Charles R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/7761
https://doi.org/10.1023/B:POST.0000042733.60148.47
Resumo: There is a symmetric nonnegative matrix A, subordinate to a given bipartite graph G on n vertices, with eigenvalues ?1=?2==?n if and only if, ?1 + ?n=0, ?2 + ?n-1=0,...,?m + ?n - m + 1=0, ?m + 1=0,...,?n - m=0, in which m is the matching numberof G. Other observations are also made about the symmetric nonnegative inverse eigenvalue problem with respect to a graph
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spelling Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite GraphThere is a symmetric nonnegative matrix A, subordinate to a given bipartite graph G on n vertices, with eigenvalues ?1=?2==?n if and only if, ?1 + ?n=0, ?2 + ?n-1=0,...,?m + ?n - m + 1=0, ?m + 1=0,...,?n - m=0, in which m is the matching numberof G. Other observations are also made about the symmetric nonnegative inverse eigenvalue problem with respect to a graph2004info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/7761http://hdl.handle.net/10316/7761https://doi.org/10.1023/B:POST.0000042733.60148.47engPositivity. 8:2 (2004) 209-213Leal-Duarte, AntónioJohnson, Charles R.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:RCAAP2020-05-25T13:07:15Zoai:estudogeral.uc.pt:10316/7761Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:44.987390Repositório 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 Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
title Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
spellingShingle Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
Leal-Duarte, António
title_short Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
title_full Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
title_fullStr Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
title_full_unstemmed Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
title_sort Resolution of the Symmetric Nonnegative Inverse Eigenvalue Problem for Matrices Subordinate to a Bipartite Graph
author Leal-Duarte, António
author_facet Leal-Duarte, António
Johnson, Charles R.
author_role author
author2 Johnson, Charles R.
author2_role author
dc.contributor.author.fl_str_mv Leal-Duarte, António
Johnson, Charles R.
description There is a symmetric nonnegative matrix A, subordinate to a given bipartite graph G on n vertices, with eigenvalues ?1=?2==?n if and only if, ?1 + ?n=0, ?2 + ?n-1=0,...,?m + ?n - m + 1=0, ?m + 1=0,...,?n - m=0, in which m is the matching numberof G. Other observations are also made about the symmetric nonnegative inverse eigenvalue problem with respect to a graph
publishDate 2004
dc.date.none.fl_str_mv 2004
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/10316/7761
http://hdl.handle.net/10316/7761
https://doi.org/10.1023/B:POST.0000042733.60148.47
url http://hdl.handle.net/10316/7761
https://doi.org/10.1023/B:POST.0000042733.60148.47
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Positivity. 8:2 (2004) 209-213
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eu_rights_str_mv openAccess
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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