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Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide

dc.contributor.authorFernandes, Rosário
dc.contributor.authorda Cruz, Henrique F.
dc.contributor.authorSalomão, Domingos
dc.contributor.institutionDM - Departamento de Matemática
dc.contributor.institutionCMA - Centro de Matemática e Aplicações
dc.contributor.pblSpringer Science Business Media
dc.date.accessioned2020-09-30T22:22:51Z
dc.date.available2024-07-21T00:32:10Z
dc.date.embargoedUntil2021-06-01
dc.date.issued2020-07-01
dc.descriptionFCT (UID/MAT/00212/2019) FCT (UID/MAT/00297/2019)
dc.description.abstractGiven two nonincreasing integral vectors R and S, with the same sum, we denote by A(R, S) the class of all (0,1)-matrices with row sum vector R, and column sum vector S. The Bruhat order and the Secondary Bruhat order on A(R, S) are both extensions of the classical Bruhat order on Sn, the symmetric group of degree n. These two partial orders on A(R, S) are, in general, different. In this paper we prove that if R = (2,2,…,2) or R = (1,1,…,1), then the Bruhat order and the Secondary Bruhat order on A(R, S) coincide.en
dc.description.versionauthorsversion
dc.description.versionpublished
dc.format.extent298308
dc.identifier.doi10.1007/s11083-019-09500-8
dc.identifier.issn0167-8094
dc.identifier.otherPURE: 18785774
dc.identifier.otherPURE UUID: bfc647de-dc6f-4c79-9972-32459ee496a7
dc.identifier.otherScopus: 85068123460
dc.identifier.otherWOS: 000548247100001
dc.identifier.otherORCID: /0000-0003-2695-9079/work/163979172
dc.identifier.urihttp://hdl.handle.net/10362/104983
dc.identifier.urlhttps://www.scopus.com/pages/publications/85068123460
dc.language.isoeng
dc.peerreviewedyes
dc.subject(0,1)-matrices
dc.subjectBruhat order
dc.subjectPartial order
dc.subjectSecondary Bruhat order
dc.subjectAlgebra and Number Theory
dc.subjectGeometry and Topology
dc.subjectComputational Theory and Mathematics
dc.titleClasses of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincideen
dc.typejournal article
degois.publication.firstPage207
degois.publication.issue2
degois.publication.lastPage221
degois.publication.titleOrder
degois.publication.volume37
dspace.entity.typePublication
rcaap.rightsopenAccess

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