2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96970Fulton and Woodward have recently identified the smallest degree of $q$ that appears in the expansion of the product of two Schubert classes in the (small) quantum cohomology ring of a Grassmannian. We present a combinatorial proof of this result, and provide an alternative characterization of this smallest degree in terms of the rim hook formula for the quantum product.9 pages, 4 figuresCombinatoricsAlgebraic Geometry14M15; 05E05Degree Bounds in Quantum Schubert Calculustext