Properties of the Brualdi-Li tournament matrix (Q1863544)
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scientific article; zbMATH DE number 1880047
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of the Brualdi-Li tournament matrix |
scientific article; zbMATH DE number 1880047 |
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Properties of the Brualdi-Li tournament matrix (English)
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11 March 2003
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It has been conjectured that the Brualdi-Li tournament matrix has the largest spectral radius among all tournament matrices of even order. In this paper the authors find two forms of the characteristic polynomial of the Brualdi-Li tournament matrix. From this they deduce, among other things, that the roots of the polynomial are simple and that the matrix is diagonalizable.
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characteristic polynomial
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