𝔖 Bobbio Scriptorium
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Borsuk's theorem and the number of facets of centrally symmetric polytopes

✍ Scribed by I. Bárány; L. Lovász

Publisher
Akadmiai Kiad
Year
1982
Tongue
English
Weight
362 KB
Volume
40
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES

Upper Bounds on the Maximal Number of Fa
Upper Bounds on the Maximal Number of Facets of 0/1-Polytopes
✍ Tamás Fleiner; Volker Kaibel; Günter Rote 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 157 KB

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.