Algebraic multiplicity of the eigenvalues of a tournament matrix

DOI10.1016/0024-3795(92)90178-DzbMath0758.15012WikidataQ56850768 ScholiaQ56850768MaRDI QIDQ1187394

D. de Cean, David A. Gregory, Norman J. Pullman, Stephen J. Kirkland, John S. Maybee

Publication date: 13 August 1992

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

zbMATH Keywords

spectral radiusdistinct eigenvalues(0,1)-matrixalgebraic multiplicityHadamard tournament matrixirreducible tournament matricesPerron value

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Eigenvalues, singular values, and eigenvectors (15A18) Matrices of integers (15B36)

Related Items (17)

On the number of 7-cycles in regular \(n\)-tournaments ⋮ Group inverses of \(M\)-matrices associated with nonnegative matrices having few eigenvalues ⋮ Eigenvalues of oriented-graph matrices ⋮ On (−1, 1)-Matrices of Skew Type with the Maximal Determinant and Tournaments ⋮ Normal matrices and their principal submatrices of co-order one ⋮ On the minimum Perron value for an irreducible tournament matrix ⋮ An upper bound for the energy of radial digraphs ⋮ On almost regular tournament matrices ⋮ Spectra of digraphs ⋮ On multipartite tournament matrices with constant team size^∗ ⋮ Pick's inequality and tournaments ⋮ Spectral radii of tournament matrices whose graphs are related by an arc reversal ⋮ On 5-Cycles and 6-Cycles in Regular n-Tournaments ⋮ Perron vector ordering for a subclass of tournament matrices ⋮ Tournament matrices with extremal spectral properties ⋮ Properties of the Brualdi-Li tournament matrix ⋮ \(k\)-spectrally monomorphic tournaments

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• Partly zero eigenvectors
• On the characteristic roots of tournament matrices
• On Generalized Tournament Matrices

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