65 citations · 253 across the 47 of their papers we have counts for
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math.OC2007★ 65 cited
A polynomial oracle-time algorithm for convex integer minimization
Raymond Hemmecke, Shmuel Onn, Robert Weismantel
In this paper we consider the solution of certain convex integer minimization problems via greedy augmentation procedures. We show that a greedy augmentation procedure that employs…
math.OC2007★ 15 cited
FPTAS for optimizing polynomials over the mixed-integer points of polytopes in fixed dimension
Jesús A. De Loera, Raymond Hemmecke, Matthias Köppe +1
We show the existence of a fully polynomial-time approximation scheme (FPTAS) for the problem of maximizing a non-negative polynomial over mixed-integer sets in convex polytopes, w…