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Lower Bound for the Maximal Number of Facets of a 0/1 Polytope

✍ Scribed by Dimitris Gatzouras; Giannopoulos Apostolos; Nikolaos Markoulakis

Publisher
Springer
Year
2005
Tongue
English
Weight
241 KB
Volume
34
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES

Upper Bounds on the Maximal Number of Fa
Upper Bounds on the Maximal Number of Facets of 0/1-Polytopes
✍ TamΓ‘s Fleiner; Volker Kaibel; GΓΌnter Rote πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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.