Fernandes, Rosárioda Cruz, Henrique F.Salomão, Domingos2020-09-302024-07-212020-07-010167-8094PURE: 18785774PURE UUID: bfc647de-dc6f-4c79-9972-32459ee496a7Scopus: 85068123460WOS: 000548247100001ORCID: /0000-0003-2695-9079/work/163979172http://hdl.handle.net/10362/104983FCT (UID/MAT/00212/2019) FCT (UID/MAT/00297/2019)Given 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.298308eng(0,1)-matricesBruhat orderPartial orderSecondary Bruhat orderAlgebra and Number TheoryGeometry and TopologyComputational Theory and Mathematicsjournal article10.1007/s11083-019-09500-8https://www.scopus.com/pages/publications/85068123460