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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.OC2010★ 2 cited
A probabilistic comparison of the strength of split, triangle, and quadrilateral cuts (extended version)
Alberto Del Pia, Christian Wagner, Robert Weismantel
We consider mixed integer linear sets defined by two equations involving two integer variables and any number of non-negative continuous variables. The non-trivial valid inequaliti…
math.MG2010★ 1 cited
Inequalities for the lattice width of lattice-free convex sets in the plane
Gennadiy Averkov, Christian Wagner
A closed, convex set in with non-empty interior is called lattice-free if the interior of is disjoint with . In this paper we study the relatio…