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Properties of the Brualdi-Li tournament matrix

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Publication:1863544
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DOI10.1016/S0024-3795(02)00265-3zbMath1017.05074MaRDI QIDQ1863544

James R. Weaver, Jeffrey L. Stuart, Rohan Hemasinha, Stephen J. Kirkland

Publication date: 11 March 2003

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


zbMATH Keywords

characteristic polynomial


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Directed graphs (digraphs), tournaments (05C20)


Related Items (5)

Normal matrices and their principal submatrices of co-order one ⋮ Solution of the conjecture of Brualdi and Li ⋮ Spectra of digraphs ⋮ On 5-Cycles and 6-Cycles in Regular n-Tournaments ⋮ Some properties complementary to Brualdi-Li matrices




Cites Work

  • Unnamed Item
  • Unnamed Item
  • On tournament matrices
  • Algebraic multiplicity of the eigenvalues of a tournament matrix
  • On the minimum Perron value for an irreducible tournament matrix
  • On almost regular tournament matrices
  • A note on the sequence of Brualdi-Li matrices
  • Hypertournament matrices, score vectors and eigenvalues




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