2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119243We give a survey of work on the number of vertices of the convex hull of integer points defined by the system of linear inequalities. Also, we present our improvement of some of these.12 pagesCombinatorics05A16; 90C10; 90C57On the number of vertices in integer linear programming problemstext