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arXiv · 1512.07872

On the diameter of lattice polytopes

Alberto Del Pia·Carla Michini
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Abstract

In this paper we show that the diameter of a d-dimensional lattice polytope in [0,k]^n is at most (k - 1/2) d. This result implies that the diameter of a d-dimensional half-integral polytope is at most 3/2 d. We also show that for half-integral polytopes the latter bound is tight for any d.

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Alberto Del Pia, Carla Michini. 2015-12-24. On the diameter of lattice polytopes. https://arxiv.org/abs/1512.07872

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