Possible numbers of ones in 0–1 matrices with a given rank

DOI10.1080/03081080500094048zbMath1084.15015OpenAlexW2006703596MaRDI QIDQ5317722

Xingzhi Zhan, Yaqin Li, Qi Hu

Publication date: 21 September 2005

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

Full work available at URL: https://doi.org/10.1080/03081080500094048

zbMATH Keywords

ranksymmetric matrix0-1 matrixnumber of ones

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices of integers (15B36) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Rank relations between a \(\{0, 1\}\)-matrix and its complement ⋮ Possible numbers of \(x\)'s in an \(\{x, y\}\)-matrix with a given rank ⋮ Possible numbers of ones in the squares of 0–1 matrices with a given rank

Cites Work

• A remark on matrix rigidity

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