The upper bound inequality h i (P)&h i&1 (P) ( n&d+i&2 i ) (0 i dร2) is proved for the toric h-vector of a rational convex d-dimensional polytope with n vertices. This gives nonlinear inequalities on flag vectors of rational polytopes. ## 1998 Academic Press A major result in polytope theory is th
โฆ LIBER โฆ
On the upper-bound conjecture for convex polytopes
โ Scribed by P McMullen
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 555 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0095-8956
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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