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math.OC2010★ 2 cited
Maximal lattice-free polyhedra: finiteness and an explicit description in dimension three
Gennadiy Averkov, Christian Wagner, Robert Weismantel
A convex set with nonempty interior is maximal lattice-free if it is inclusion-maximal with respect to the property of not containing integer points in its interior. Maximal lattic…
math.OC2009★ 4 cited
Maximal integral simplices with no interior integer points
Kent Andersen, Christian Wagner, Robert Weismantel
In this paper, we consider integral maximal lattice-free simplices. Such simplices have integer vertices and contain integer points in the relative interior of each of their facets…