Random half-integral polytopes

We show that 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...

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Veröffentlicht in:	Operations research letters 2011-05, Vol.39 (3), p.204-207
Hauptverfasser:	Braun, Gábor, Pokutta, Sebastian
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Cubes Cutting-plane procedures Exact sciences and technology Hulls Hulls (structures) Mathematical programming Obstructions Operational research and scientific management Operational research. Management science Operations research Polytopes Random half-integral polytopes Rank lower bounds Thresholds
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