On the term rank partitions of matrices in

DOI10.1080/03081087.2023.2172375OpenAlexW4318613848MaRDI QIDQ6201017

Rosário Fernandes, Maria Antónia Duffner

Publication date: 25 March 2024

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

Full work available at URL: https://doi.org/10.1080/03081087.2023.2172375

zbMATH Keywords

(0,1)-matrixT-term rankterm rank partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Other designs, configurations (05B30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Combinatorial aspects of matroids and geometric lattices (05B35) Transversal (matching) theory (05D15) Matrices of integers (15B36)

Cites Work

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• On a conjecture concerning the Bruhat order
• The Bruhat order on classes of isotopic Latin squares
• On the term rank partition
• Matrices in \(\mathcal{A}(R, S)\) with minimum \(t\)-term ranks
• Small perturbations and pairs of matrices that have the same immanent
• Extremal matrices for the Bruhat-graph order
• The covering number of elements of a matroid and associated transformations
• On the covering number of a matroid element

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