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math.MG2010★ 1 cited
Notes on lattice points of zonotopes and lattice-face polytopes
Christian Bey, Martin Henk, Matthias Henze +1
Minkowski's second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowski'…
math.MG2010
Description of polygonal regions by polynomials of bounded degree
Gennadiy Averkov, Christian Bey
We show that every (possibly unbounded) convex polygon in with edges can be represented by inequalities where the 's are products of a…