Almost full rank matrices arising from transitive tournaments

DOI10.1080/03081087.2022.2158168OpenAlexW4313898101MaRDI QIDQ6198661

Niranjan Balachandran, Brahadeesh Sankarnarayanan, Srimanta Bhattacharya

Publication date: 23 February 2024

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

Full work available at URL: https://doi.org/10.1080/03081087.2022.2158168

zbMATH Keywords

determinantskew-adjacency matrixtransitive tournamentminimum rankgeneralized adjacency matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

On hierarchically closed fractional intersecting families

Cites Work

• Unnamed Item
• Skew-adjacency matrices of graphs
• Minimum rank problems
• On skew-Hadamard matrices
• Minimum rank of skew-symmetric matrices described by a graph
• The minimum rank of symmetric matrices described by a graph: a survey
• Equilateral sets in \(l_p^n\)
• Fractional \(L\)-intersecting families
• An ensemble of high rank matrices arising from tournaments
• Modular and fractional \(L\)-intersecting families of vector spaces
• On unimodular tournaments
• Fractional cross intersecting families
• The Voting Problem
• The skew-rank of oriented graphs
• Minimum rank with zero diagonal

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