Classes of \((0,1)\)-matrices where the Bruhat order and the secondary Bruhat order coincide

DOI10.1007/s11083-019-09500-8zbMath1481.06011OpenAlexW2951923925WikidataQ127640665 ScholiaQ127640665MaRDI QIDQ781521

Domingos Salomão, Rosário Fernandes, Henrique F. da Cruz

Publication date: 17 July 2020

Published in: Order (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10362/104983

zbMATH Keywords

partial orderBruhat order\((0,1)\)-matricessecondary Bruhat order

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorics of partially ordered sets (06A07)

Related Items (9)

On certain trees with the same degree sequence ⋮ On a conjecture concerning the Bruhat order ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The coincidence of the Bruhat order and the secondary Bruhat order on \(\mathcal{A}(n, k)\) ⋮ On the term rank partitions of matrices in ⋮ The Bruhat order on classes of isotopic Latin squares ⋮ Extremal matrices for the Bruhat-graph order ⋮ Latin Squares and their Bruhat Order

Cites Work

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• Minimal matrices in the Bruhat order for symmetric (0,1)-matrices
• Bruhat order of tournaments
• Antichains of \((0, 1)\)-matrices through inversions
• Alternating sign matrices and their Bruhat order
• On maximum chains in the Bruhat order of \(\mathcal A(n,2)\)
• Doubly stochastic matrices and the Bruhat order
• Latin Squares and their Bruhat Order
• The Bruhat Order of the Symmetric Group is Lexicographically Shellable
• Möbius inversion for the Bruhat ordering on a Weyl group

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