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

DOI10.1155/2014/940834zbMath1463.05325OpenAlexW2040582810WikidataQ59054388 ScholiaQ59054388MaRDI QIDQ2336853

Xiaogen Chen

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/940834

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Directed graphs (digraphs), tournaments (05C20) Matrices of integers (15B36)

Cites Work

• Unnamed Item
• Solution of the conjecture of Brualdi and Li
• Spectra of digraphs
• Tournament matrices with extremal spectral properties
• Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li
• On the spectra of nonsymmetric Laplacian matrices
• Laplacians and the Cheeger inequality for directed graphs
• On some properties for the sequence of Brualdi-Li matrices
• A note on the sequence of Brualdi-Li matrices
• On the Brualdi-Li matrix and its Perron Eigenspace
• Eigenvalues of the Laplacian of a graph^∗
• Hypertournament matrices, score vectors and eigenvalues

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