Spectral radii of tournament matrices whose graphs are related by an arc reversal

DOI10.1016/0024-3795(94)00160-FzbMath0826.15018MaRDI QIDQ1805320

Stephen J. Kirkland

Publication date: 3 December 1995

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

zbMATH Keywords

spectral radiustournament matrixPerron-Frobenius eigenvalues

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36)

Related Items (2)

A note on Perron vectors for almost regular tournament matrices ⋮ On the minimum Perron value for an irreducible tournament matrix

Cites Work

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• Non-negative matrices and Markov chains. 2nd ed
• On tournament matrices
• Algebraic multiplicity of the eigenvalues of a tournament matrix
• Tournament matrices with extremal spectral properties
• Pick's inequality and tournaments
• Analysis of preferential experiments
• Some remarks on tournament matrices
• Tournament matrices and their generalizations, I.
• Matrix Analysis
• Hypertournament matrices, score vectors and eigenvalues
• A reversal index for tournament matrices^*
• The Theory of Round Robin Tournaments
• On the characteristic roots of tournament matrices
• On Generalized Tournament Matrices

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