7 citations · 12 across the 3 of their papers we have counts for
3 papers
math.OC2019
Facets, weak facets, and extreme functions of the Gomory-Johnson infinite group problem
Matthias Köppe, Yuan Zhou
We investigate three competing notions that generalize the notion of a facet of finite-dimensional polyhedra to the infinite-dimensional Gomory-Johnson model. These notions were kn…
math.OC2011★ 7 cited
Algorithmic and Complexity Results for Cutting Planes Derived from Maximal Lattice-Free Convex Sets
Amitabh Basu, Robert Hildebrand, Matthias Köppe
We study a mixed integer linear program with m integer variables and k non-negative continuous variables in the form of the relaxation of the corner polyhedron that was introduced…
math.CO2010★ 5 cited
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra
Velleda Baldoni, Nicole Berline, Jesús A. De Loera +2
This article concerns the computational problem of counting the lattice points inside convex polytopes, when each point must be counted with a weight associated to it. We describe…