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The Bruhat rank of a binary symmetric staircase pattern

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Publication:350324
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DOI10.1515/math-2016-0079zbMath1351.05039OpenAlexW2548318137MaRDI QIDQ350324

Zhibin Du, Carlos Martins de Fonseca

Publication date: 7 December 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2016-0079


zbMATH Keywords

permutation matrixinversionBruhat orderBruhat rankBruhat shadow


Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorics of partially ordered sets (06A07) Matrices of integers (15B36)




Cites Work

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  • The maximal length of a chain in the Bruhat order for a class of binary matrices
  • More on the Bruhat order for (0, 1)-matrices
  • Matrices of 0's and 1's with total support
  • On the largest size of an antichain in the Bruhat order for \(\mathcal A (2k,k)\)
  • The Distribution of Positive Elements in Doubly-Stochastic Matrices




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