Preserving regular tournaments and term rank-1
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Publication:1030754
DOI10.1016/j.laa.2009.03.046zbMath1168.05311OpenAlexW2094151826MaRDI QIDQ1030754
Alexander E. Guterman, Leroy B. Beasley, David E. Brown
Publication date: 2 July 2009
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.046
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Miscellaneous inequalities involving matrices (15A45) Directed graphs (digraphs), tournaments (05C20) Vector spaces, linear dependence, rank, lineability (15A03)
Related Items (4)
A comparison of term ranks of symmetric matrices and their preservers ⋮ Linear preservers of term ranks of matrices over semirings ⋮ Semimodules and preservers of traceless symmetric Boolean matrices of factor rank two ⋮ Preservers of term ranks of symmetric matrices
Cites Work
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- Linear preservers of extremes of rank inequalities over semirings: Row and column ranks
- Extending partial tournaments
- On tournament matrices
- Term-rank, permanent, and rook-polynomial preservers
- Linear preservers of extremes of rank inequalities over semirings: the factor rank
- Linear Preserver Problems
- Tournament matrices and their generalizations, I.
- Frobenius and Dieudonné theorems over semirings
- On the powers of tournament matrices
- On the characteristic roots of tournament matrices
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