On (−1, 1)-Matrices of Skew Type with the Maximal Determinant and Tournaments

DOI10.1007/978-3-319-17729-8_1zbMath1329.05037OpenAlexW2342243372MaRDI QIDQ3466743

José Andrés Armario

Publication date: 25 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle//11441/114926

zbMATH Keywords

skew \((-1,1)\)-matrices

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Boolean and Hadamard matrices (15B34)

Related Items (3)

On the Smith normal form of skew E-W matrices ⋮ Matricial characterization of tournaments with maximum number of diamonds ⋮ On Skew E-W Matrices

Cites Work

• A characterization of skew Hadamard matrices and doubly regular tournaments
• Algebraic multiplicity of the eigenvalues of a tournament matrix
• Doubly regular tournaments are equivalent to skew Hadamard matrices
• Determinantenabschätzungen für binäre Matrizen. (Estimation of determinants for binary matrices)
• On Hadamard's inequality for the determinants of order non-divisible by 4

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