75 citations · 671 across the 41 of their papers we have counts for
3 papers · 2 filters
The Triangle Closure is a Polyhedron
Amitabh Basu, Robert Hildebrand, Matthias Köppe
Recently, cutting planes derived from maximal lattice-free convex sets have been studied intensively by the integer programming community. An important question in this research ar…
A (k+1)-Slope Theorem for the k-Dimensional Infinite Group Relaxation
Amitabh Basu, Robert Hildebrand, Matthias Köppe +1
We prove that any minimal valid function for the k-dimensional infinite group relaxation that is piecewise linear with at most k+1 slopes and does not factor through a linear map w…
Unique Minimal Liftings for Simplicial Polytopes
Amitabh Basu, Gérard Cornuéjols, Matthias Köppe
For a minimal inequality derived from a maximal lattice-free simplicial polytope in , we investigate the region where minimal liftings are uniquely defined, and we characteri…