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math.MG2012★ 4 cited
A Blichfeldt-type inequality for centrally symmetric convex bodies
Matthias Henze
In this note, we derive an asymptotically sharp upper bound on the number of lattice points in terms of the volume of centrally symmetric convex bodies. Our main tool is a generali…
math.MG2012★ 1 cited
Face numbers of centrally symmetric polytopes from split graphs
Ragnar Freij, Matthias Henze, Moritz W. Schmitt +1
We analyze a remarkable class of centrally symmetric polytopes, the Hansen polytopes of split graphs. We confirm Kalai's 3^d-conjecture for such polytopes (they all have at least 3…