The Bruhat order on classes of isotopic Latin squares

DOI10.4171/PM/2046zbMath1452.05016OpenAlexW3084044097WikidataQ113249455 ScholiaQ113249455MaRDI QIDQ2211449

Domingos Salomão, Rosário Fernandes, Henrique F. da Cruz

Publication date: 11 November 2020

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/2046

zbMATH Keywords

Latin squarestransversalsBruhat orderorthogonal Latin squares

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorics of partially ordered sets (06A07) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (4)

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Cites Work

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• The maximal length of a chain in the Bruhat order for a class of binary matrices
• Classes of \((0,1)\)-matrices where the Bruhat order and the secondary Bruhat order coincide
• The number of transversals in a Latin square
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• On the Bruhat order of labeled graphs
• On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\)
• Parity of transversals of Latin squares
• Minimal matrices in the Bruhat order for symmetric (0,1)-matrices
• On a conjecture concerning the Bruhat order
• Bruhat order of tournaments
• Antichains of \((0, 1)\)-matrices through inversions
• The Hall-Paige conjecture, and synchronization for affine and diagonal groups
• 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

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