The upper bounds of the generalized maximum density index of irreducible Boolean matrices (Q1355228)

The authors obtain exact upper bounds for the least exponent \(j\) of powers \(A^j\) of an irreducible Boolean matrix \(A\) of order \(n\) and period \(p\) for which the number of ones in \(k\) rows of \(A^j\) is maximal over all choices of \(k\) rows and over all \(j\).