%0 Journal Article %A Sánchez García, Miguel %A Sobrón Fernández, María Inés %A Vitoriano Villanueva, Begoña %T On the set covering polytope: Facets with coefficients in {0, 1, 2, 3} %D 1998 %@ 0254-5330 %U https://hdl.handle.net/20.500.14352/57923 %X Balas and Ng [1,2] characterized the class of valid inequalities for the set covering polytope with coefficients equal to 0, 1 or 2, and gave necessary and sufficient conditions for such an inequality to be facet defining. We extend this study, characterizing the class of valid inequalities with coefficients equal to 0, 1, 2 or 3, and giving necessary and sufficient conditions for such an inequality to be not dominated, and to be facet defining. %~