Preserving regular tournaments and term rank-1

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

zbMATH Keywords

preserversterm rankregular tournaments

Mathematics Subject Classification ID

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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