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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 unithypercube. When $R$ has binary vertices, we characterize the vertices of $P$ interms of the vertices of $R$, show their integrality, and prove that the1-skeleton of $R$ is an induced subgraph of the 1-skeleton of $P$. We concludeby applying our findings to settle a claim in the original paper.

Addendum to Vertex adjacencies in the set covering polyhedron