On the diameter of convex polytopes
β Scribed by Peter Kleinschmidt; Shmuel Onn
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 171 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
to branko gru nbaum in honor of his seventieth birthday An inner diagonal of a polytope P is a segment that joins two vertices of P and that lies, except for its ends, in P's relative interior. The paper's main results are as follows: (a) Among all d-polytopes P having a given number v of vertices,
It is shown that if three vertices of the graph c?(l)) of a convex 3-polytope P are chosen, then G(P) contains a refinement of the complete graph C,, on four vertices, for which the three chosen vertices are principal (that is, correspond to vertices of C, in the refinement.. In general, all four ve