1 citations · 3 across the 4 of their papers we have counts for
5 papers
Cone-volume measures of polytopes
Martin Henk, Eva Linke
The cone-volume measure of a polytope with centroid at the origin is proved to satisfy the subspace concentration condition. As a consequence a conjectured (a dozen years ago) fund…
Integer Points in Knapsack Polytopes and s-covering Radius
Iskander Aliev, Martin Henk, Eva Linke
Given an integer matrix A satisfying certain regularity assumptions, we consider for a positive integer s the set F_s(A) of all integer vectors b such that the associated knapsack…
Lattice points in vector-dilated polytopes
Martin Henk, Eva Linke
For we investigate the behaviour of the number of lattice points in , depending on the varying vector . It is…
Rational Ehrhart quasi-polynomials
Eva Linke
Ehrhart's famous theorem states that the number of integral points in a rational polytope is a quasi-polynomial in the integral dilation factor. We study the case of rational dilat…
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'…