Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix

Detalhes bibliográficos
Autor(a) principal: Johnson, Charles R.
Data de Publicação: 2002
Outros Autores: Saiago, Carlos Manuel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/58377
Resumo: Research supported in part by Fundação para a Ciência e a Tecnologia, Portugal, through the research grant SFRH/BD/899/2000. Part of the research was done while visiting the College of William and Mary.
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spelling Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrixEigenvaluesMultiplicitySymmetric matrixTreeVertex degreesResearch supported in part by Fundação para a Ciência e a Tecnologia, Portugal, through the research grant SFRH/BD/899/2000. Part of the research was done while visiting the College of William and Mary.The maximum multiplicity among eigenvalues of matrices with a given graph cannot generally be expressed in terms of the degrees of the vertices (even when the graph is a tree). Given are best possible lower and upper bounds, and characterization of the cases of equality in these bounds. A by-product is a sequential algorithm to calculate the exact maximum multiplicity by simple counting.DM - Departamento de MatemáticaCMA - Centro de Matemática e AplicaçõesRUNJohnson, Charles R.Saiago, Carlos Manuel2019-01-23T23:18:10Z2002-032002-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article5application/pdfhttp://hdl.handle.net/10362/58377eng1081-3810PURE: 238761https://doi.org/10.13001/1081-3810.1070info: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:RCAAP2024-05-22T17:36:47Zoai:run.unl.pt:10362/58377Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-22T17:36:47Repositório 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 Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
title Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
spellingShingle Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
Johnson, Charles R.
Eigenvalues
Multiplicity
Symmetric matrix
Tree
Vertex degrees
title_short Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
title_full Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
title_fullStr Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
title_full_unstemmed Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
title_sort Estimation of the maximum multiplicity of an eigenvalue in terms of the vertex degrees of the graph of a matrix
author Johnson, Charles R.
author_facet Johnson, Charles R.
Saiago, Carlos Manuel
author_role author
author2 Saiago, Carlos Manuel
author2_role author
dc.contributor.none.fl_str_mv DM - Departamento de Matemática
CMA - Centro de Matemática e Aplicações
RUN
dc.contributor.author.fl_str_mv Johnson, Charles R.
Saiago, Carlos Manuel
dc.subject.por.fl_str_mv Eigenvalues
Multiplicity
Symmetric matrix
Tree
Vertex degrees
topic Eigenvalues
Multiplicity
Symmetric matrix
Tree
Vertex degrees
description Research supported in part by Fundação para a Ciência e a Tecnologia, Portugal, through the research grant SFRH/BD/899/2000. Part of the research was done while visiting the College of William and Mary.
publishDate 2002
dc.date.none.fl_str_mv 2002-03
2002-03-01T00:00:00Z
2019-01-23T23:18:10Z
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/10362/58377
url http://hdl.handle.net/10362/58377
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1081-3810
PURE: 238761
https://doi.org/10.13001/1081-3810.1070
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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application/pdf
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 mluisa.alvim@gmail.com
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