graphs is at most log, 6.
An upper bound on the shortness exponent of inscribable polytopes
β Scribed by Michael B Dillencourt
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 834 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The distance between two vertices of a polytope is the minimum number of edges in a path joining them. The diameter of a polytope is the greatest distance between two vertices of the polytope. We show that if P is a d-dimensional polytope with n facets, then the diameter of P is at most $ $-3(,r -d
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.