On the Brualdi-Li matrix and its Perron Eigenspace

DOI10.13001/1081-3810.1516zbMath1252.05113OpenAlexW244312917MaRDI QIDQ3166860

J. Burk, Michael J. Tsatsomeros

Publication date: 1 November 2012

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/871f459878e70a4941f0550419721e0328ae8725

zbMATH Keywords

Perron vectortournament matrixPerron valuebrualdi-Li matrixteam ranking

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Directed graphs (digraphs), tournaments (05C20) Boolean and Hadamard matrices (15B34)

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The spectrum and eigenvectors of the Laplacian matrices of the Brualdi-Li tournament digraphs

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