Extremal matrices for the Bruhat-graph order

DOI10.1080/03081087.2020.1749540zbMath1465.05023OpenAlexW3015612168MaRDI QIDQ4992536

Rosário Fernandes, Susana Furtado

Publication date: 9 June 2021

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10362/97936

zbMATH Keywords

Bruhat ordersymmetric matrices\((0,1)\)-matricesminimal matricesmaximal matrices

Mathematics Subject Classification ID

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

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Cites Work

• Classes of \((0,1)\)-matrices where the Bruhat order and the secondary Bruhat order coincide
• More on the Bruhat order for (0, 1)-matrices
• On the Bruhat order of labeled graphs
• Minimal matrices in the Bruhat order for symmetric (0,1)-matrices
• Antichains of \((0, 1)\)-matrices through inversions
• On maximum chains in the Bruhat order of \(\mathcal A(n,2)\)
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