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DCG
2010
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12 years 11 months ago
An Optimization Problem Related to Minkowski's Successive Minima
Abstract The purpose of this paper is to establish an inequality connecting the lattice point enumerator of a 0-symmetric convex body with its successive minima. To this end, we in...
Romanos Malikiosis
DM
2011
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12 years 11 months ago
Notes on lattice points of zonotopes and lattice-face polytopes
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 Minkowsk...
Christian Bey, Martin Henk, Matthias Henze, Eva Li...