Mathematics – Combinatorics
Scientific paper
2000-08-03
Mathematics
Combinatorics
14 pages (paper) + 22 pages (C code) Submitted to Mathematika
Scientific paper
We show that, if the interior of a lattice d-polytope P contains at least one
lattice point, then it contains a lattice point whose coefficient of asymmetry
with respect to P is at most b for some number b depending on d only.
As an application, we obtain new upper bounds on the volume of a lattice
polytope given the number of lattice points in its interior.
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