75 citations · 671 across the 41 of their papers we have counts for
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math.CO2010★ 23 cited
Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory
Velleda Baldoni, Nicole Berline, Matthias Köppe +1
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced by A. Barvinok [Computing the Ehrhart quasi-polynomial of a rational simplex, M…
math.OC2010★ 38 cited
A new Lenstra-type Algorithm for Quasiconvex Polynomial Integer Minimization with Complexity 2^O(n log n)
Robert Hildebrand, Matthias Köppe
We study the integer minimization of a quasiconvex polynomial with quasiconvex polynomial constraints. We propose a new algorithm that is an improvement upon the best known algorit…
math.CO2010★ 1 cited
Challenging computations of Hilbert bases of cones associated with algebraic statistics
Winfried Bruns, Raymond Hemmecke, Bogdan Ichim +2
In this paper we present two independent computational proofs that the monoid derived from contingency tables is normal, completing the classification by Hibi a…