An upper bound on the Perron value of an almost regular tournament matrix

DOI10.1016/S0024-3795(01)00552-3zbMath1019.15004MaRDI QIDQ1863540

Stephen J. Kirkland

Publication date: 11 March 2003

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

zbMATH Keywords

bounds for eigenvaluesPerron vectortournament matrixPerron value

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (5)

Solution of the conjecture of Brualdi and Li ⋮ A new bound for the spectral radius of Brualdi-Li matrices ⋮ A random walk approach to linear statistics in random tournament ensembles ⋮ Spectra of digraphs ⋮ Some properties complementary to Brualdi-Li matrices

Cites Work

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• Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li
• A note on Perron vectors for almost regular tournament matrices
• A note on the sequence of Brualdi-Li matrices
• Hypertournament matrices, score vectors and eigenvalues
• On the characteristic roots of tournament matrices

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