论文信息 - Upper Bounds on the Maximal Number of Facets of 0/1-Polytopes

Upper Bounds on the Maximal Number of Facets of 0/1-Polytopes

We prove two new upper bounds on the number of facets that a d -dimensional 0/1-polytope can have. The first one is 2(d? 1)!+ 2(d? 1) (which is the best one currently known for small dimensions), while the second one of O((d? 2)!) is the best known bound for large dimensions.

Günter Rote | Volker Kaibel | Tamás Fleiner

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