Addendum to “Vertex adjacencies in the set covering polyhedron” [Discrete Appl. Math. 218 (2017) 40–56]

Abstract

We study the relationship between the vertices of an up-monotone polyhedron R and those of the polytope P obtained by truncating R with the unit hypercube. When R has binary vertices, we characterize the vertices of P in terms of the vertices of R, show their integrality, and prove that the 1-skeleton of R is an induced subgraph of the 1-skeleton of P. We conclude by applying our findings to settle a claim in the original paper.