Properties of the Brualdi-Li tournament matrix
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.
scientific article; zbMATH DE number 1880047