On the minimum spectral radius of matrices of zeros and ones

DOI10.1016/0024-3795(87)90210-2zbMath0612.15008OpenAlexW2081551124MaRDI QIDQ1087959

Ernie S. Solheid, Richard A. Brualdi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90210-2

zbMATH Keywords

(0,1)-matrixminimal spectral radius

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Inequalities involving eigenvalues and eigenvectors (15A42) Matrices of integers (15B36)

Related Items (4)

The maximum determinant of an \(n\times{}n\) lower Hessenberg (0,1) matrix ⋮ On the spectral radius of a (0,1) matrix related to Mertens' function ⋮ A bound on the spectral radius of matrices of zeros and ones ⋮ Spectra of digraphs

Cites Work

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• On the spectral radius of (0,1)-matrices
• The maximal eigenvalue of 0-1 matrices with prescribed number of ones
• Rearrangements of square matrices with non-negative elements
• On the Spectral Radius of Complementary Acyclic Matrices of Zeros and Ones

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