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Spaces of singular matrices and matroid parity

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Publication:697076
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DOI10.1006/eujc.2002.0573zbMath1007.05039OpenAlexW1974934818MaRDI QIDQ697076

Roy Meshulam, Boaz Gelbord

Publication date: 12 September 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2002.0573


zbMATH Keywords

matroid parityskew-symmetric matricesmatroid intersectionmaximal singular subspace


Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Basic linear algebra (15A99)


Related Items (2)

Singular tuples of matrices is not a null cone (and the symmetries of algebraic varieties) ⋮ Operator scaling: theory and applications



Cites Work

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  • Matching theory
  • Vector spaces of matrices of low rank
  • On two extremal matrix problems
  • Linear spaces of Toeplitz and nilpotent matrices
  • Spaces of symmetric matrices of bounded rank
  • On Spaces of Linear Transformations with Bounded Rank
  • ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
  • On matrix spaces with zero determinant
  • Spaces of Matrices with Several Zero Eigenvalues
  • LARGE SPACES OF MATRICES OF BOUNDED RANK
  • Spaces of \(p\)-vectors of bounded rank


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