On almost regular tournament matrices
For any \(n\times n\) tournament matrix \(T\), let \(M_T\) denote the almost regular \(2n\times 2n\) tournament matrix with diagonal block \(T\), upper off-diagonal block \(T^t\), and lower off-diagonal block \(T^t+ I\). The authors show that among the class of matrices \(M_T\), the Brualdi-Li matrix has the largest Perron value. They also determine spectral and determinantal properties of matrices \(M_T\).
scientific article; zbMATH DE number 1421387