Even tournaments and Hadamard tournaments (Q1916384)
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scientific article; zbMATH DE number 896533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Even tournaments and Hadamard tournaments |
scientific article; zbMATH DE number 896533 |
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Even tournaments and Hadamard tournaments (English)
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26 January 1997
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An Hadamard tournament is a \(v\times v\) skew-symmetric \((0, 1)\) matrix \(A\) with zero in the diagonals such that the inner product of distinct rows is \(\lambda\) and the inner product of each row with itself is \(2\lambda+ 1\), where \(\nu= 4\lambda+ 3\). The tournament is an even tournament if \(\lambda\) is even. Several results and questions on these tournaments are discussed in this paper.
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automorphism group
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quadratic residues
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Hadamard tournament
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even tournament
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