2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221103In this note, we investigate some properties of local Kneser graphs defined in [8]. In this regard, as a generalization of the Erd${\rm \ddot{o}}$s-Ko-Rado theorem, we characterize the maximum independent sets of local Kneser graphs. Next, we present an upper bound for their chromatic number.CombinatoricsA Generalization of the Erdös-Ko-Rado Theoremtext