184 citations
- University of GöttingenDE5 papers
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math.MG2008★ 1 cited
Three-dimensional polyhedra can be described by three polynomial inequalities
Gennadiy Averkov, Martin Henk
Bosse et al. conjectured that for every natural number and every -dimensional polytope in there exist polynomials satisfying…
math.MG2007
The isodiametric problem with lattice-point constraints
M. A. Hernandez Cifre, A. Schuermann, F. Vallentin
In this paper, the isodiametric problem for centrally symmetric convex bodies in the Euclidean d-space R^d containing no interior non-zero point of a lattice L is studied. It is sh…
math.MG2004★ 45 cited
Computational Approaches to Lattice Packing and Covering Problems
Achill Schuermann, Frank Vallentin
We describe algorithms which address two classical problems in lattice geometry: the lattice covering and the simultaneous lattice packing-covering problem. Theoretically our algor…