Extremal matrices for the Bruhat-graph order

Bibliographic Details
Main Author: Fernandes, Rosário
Publication Date: 2020
Other Authors: Furtado, Susana
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10362/97936
Summary: UID/MAT/00297/2019 UID/MAT/04721/2019
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spelling Extremal matrices for the Bruhat-graph order-Matrices05B2006A07Bruhat ordermaximal matricesminimal matricessymmetric matricesAlgebra and Number TheoryUID/MAT/00297/2019 UID/MAT/04721/2019We consider the class (Formula presented.) of symmetric (Formula presented.) -matrices with zero trace and constant row sums k which can be identified with the class of the adjacency matrices of k-regular undirected graphs. In a previous paper, two partial orders, the Bruhat and the Bruhat-graph order, have been introduced in this class. In fact, when k = 1 or k = 2, it was shown that the two orders coincide, while for (Formula presented.) the two orders are distinct. In this paper we give general properties of minimal and maximal matrices for these orders on (Formula presented.) and study the minimal and maximal matrices when k = 1, 2 or 3.CMA - Centro de Matemática e AplicaçõesDM - Departamento de MatemáticaRUNFernandes, RosárioFurtado, Susana2020-05-18T22:33:01Z2021-05-192021-05-19T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10362/97936eng0308-1087PURE: 18214091https://doi.org/10.1080/03081087.2020.1749540info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-07-22T01:35:52Zoai:run.unl.pt:10362/97936Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T17:16:39.444019Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Extremal matrices for the Bruhat-graph order
title Extremal matrices for the Bruhat-graph order
spellingShingle Extremal matrices for the Bruhat-graph order
Fernandes, Rosário
-Matrices
05B20
06A07
Bruhat order
maximal matrices
minimal matrices
symmetric matrices
Algebra and Number Theory
title_short Extremal matrices for the Bruhat-graph order
title_full Extremal matrices for the Bruhat-graph order
title_fullStr Extremal matrices for the Bruhat-graph order
title_full_unstemmed Extremal matrices for the Bruhat-graph order
title_sort Extremal matrices for the Bruhat-graph order
author Fernandes, Rosário
author_facet Fernandes, Rosário
Furtado, Susana
author_role author
author2 Furtado, Susana
author2_role author
dc.contributor.none.fl_str_mv CMA - Centro de Matemática e Aplicações
DM - Departamento de Matemática
RUN
dc.contributor.author.fl_str_mv Fernandes, Rosário
Furtado, Susana
dc.subject.por.fl_str_mv -Matrices
05B20
06A07
Bruhat order
maximal matrices
minimal matrices
symmetric matrices
Algebra and Number Theory
topic -Matrices
05B20
06A07
Bruhat order
maximal matrices
minimal matrices
symmetric matrices
Algebra and Number Theory
description UID/MAT/00297/2019 UID/MAT/04721/2019
publishDate 2020
dc.date.none.fl_str_mv 2020-05-18T22:33:01Z
2021-05-19
2021-05-19T00:00:00Z
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/10362/97936
url http://hdl.handle.net/10362/97936
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0308-1087
PURE: 18214091
https://doi.org/10.1080/03081087.2020.1749540
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.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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