2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148236We prove an inequality for the Kostka-Foulkes polynomials $K_{λ,μ}(q)$. As a corollary, we obtain a nontrivial lower bound for the Kostka numbers and a new proof of the Berenstein-Zelevinsky weight-multiplicity-one-criterium.10 pagesHigh Energy Physics - TheoryCombinatoricstext