A characterization of skew Hadamard matrices and doubly regular tournaments

DOI10.1016/j.laa.2012.04.001zbMath1251.15033arXiv1202.5374OpenAlexW2045299105MaRDI QIDQ426098

Hiroshi Nozaki, Sho Suda

Publication date: 11 June 2012

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

Full work available at URL: https://arxiv.org/abs/1202.5374

zbMATH Keywords

adjacency matrixtournamentSeidel matrixmain angleskew Hadamard matrix

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20) Boolean and Hadamard matrices (15B34)

Related Items (5)

On (−1, 1)-Matrices of Skew Type with the Maximal Determinant and Tournaments ⋮ Complex spherical codes with two inner products ⋮ Complex spherical codes with three inner products ⋮ Upper bounds on the size of transitive subtournaments in digraphs ⋮ \(k\)-spectrally monomorphic tournaments

Cites Work

• On skew-Hadamard matrices
• Tournament matrices with extremal spectral properties
• Doubly regular tournaments are equivalent to skew Hadamard matrices
• On 4-Cycles and 5-Cycles in Regular Tournaments
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