Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope

Detalhes bibliográficos
Autor(a) principal: Fonseca, C. M. da
Data de Publicação: 2008
Outros Autores: Sá, E. Marques de
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10316/4591
Resumo: We determine the number of alternating parity sequences that are subsequences of an increasing m-tuple of integers. For this and other related counting problems we find formulas that are combinations of Fibonacci numbers. These results are applied to determine, among other things, the number of vertices of any face of the polytope of tridiagonal doubly stochastic matrices.
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spelling Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytopeDoubly stochastic matrixBirkhoff polytopeTridiagonal matrixNumber of verticesWe determine the number of alternating parity sequences that are subsequences of an increasing m-tuple of integers. For this and other related counting problems we find formulas that are combinations of Fibonacci numbers. These results are applied to determine, among other things, the number of vertices of any face of the polytope of tridiagonal doubly stochastic matrices.http://www.sciencedirect.com/science/article/B6V00-4NF4F6K-H/1/e5d0725d5317b08a025d7df94b2ca6432008info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleaplication/PDFhttp://hdl.handle.net/10316/4591http://hdl.handle.net/10316/4591engDiscrete Mathematics. 308:7 (2008) 1308-1318Fonseca, C. M. daSá, E. Marques deinfo: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:RCAAP2020-05-25T13:05:26Zoai:estudogeral.uc.pt:10316/4591Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T21:00:39.844019Repositório 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 Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
title Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
spellingShingle Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
Fonseca, C. M. da
Doubly stochastic matrix
Birkhoff polytope
Tridiagonal matrix
Number of vertices
title_short Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
title_full Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
title_fullStr Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
title_full_unstemmed Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
title_sort Fibonacci numbers, alternating parity sequences and faces of the tridiagonal Birkhoff polytope
author Fonseca, C. M. da
author_facet Fonseca, C. M. da
Sá, E. Marques de
author_role author
author2 Sá, E. Marques de
author2_role author
dc.contributor.author.fl_str_mv Fonseca, C. M. da
Sá, E. Marques de
dc.subject.por.fl_str_mv Doubly stochastic matrix
Birkhoff polytope
Tridiagonal matrix
Number of vertices
topic Doubly stochastic matrix
Birkhoff polytope
Tridiagonal matrix
Number of vertices
description We determine the number of alternating parity sequences that are subsequences of an increasing m-tuple of integers. For this and other related counting problems we find formulas that are combinations of Fibonacci numbers. These results are applied to determine, among other things, the number of vertices of any face of the polytope of tridiagonal doubly stochastic matrices.
publishDate 2008
dc.date.none.fl_str_mv 2008
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/10316/4591
http://hdl.handle.net/10316/4591
url http://hdl.handle.net/10316/4591
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Discrete Mathematics. 308:7 (2008) 1308-1318
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv aplication/PDF
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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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