Random half-integral polytopes

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Random half-integral polytopes
We show that half-integral polytopes obtained as the convex hull of a random set of half-integral points of the 0/1 cube have rank as high as Ω(log n/ log log n) with positive probability — even if the size of the set relative to the total number of half-integral points of the cube tends to 0. The high rank is due to certain obstructions. We determine the exact threshold number, when these obstructions cease to exist.
Gábor Braun, Sebastian Pokutta
Added 16 Sep 2011
Updated 16 Sep 2011
Type Journal
Year 2011
Where ORL
Authors Gábor Braun, Sebastian Pokutta
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