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Revlex-initial 0/1-polytopes

โœ Scribed by Rafael Gillmann; Volker Kaibel


Book ID
108167170
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
327 KB
Volume
113
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES


Simple 0/1-Polytopes
โœ Volker Kaibel; Martin Wolff ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 100 KB

For general polytopes, it has turned out that with respect to many questions it suffices to consider only the simple polytopes, i.e., d-dimensional polytopes where every vertex is contained in only d facets. In this paper, we show that the situation is very different within the class of 0/1-polytope

Primal separation for 0/1 polytopes
โœ Friedrich Eisenbrand; Giovanni Rinaldi; Paolo Ventura ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Springer-Verlag ๐ŸŒ English โš– 241 KB
On 0-1 Polytopes with Many Facets
โœ Imre Bรกrรกny; Attila Pรณr ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

There exist n-dimensional 0-1 polytopes with as many as ( cn log n ) nร‚4 facets. This is our main result. It answers a question of Komei Fukuda and Gu nter M. Ziegler.