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A Tight Lower Bound for Computing the Diameter of a 3D Convex Polytope

✍ Scribed by Hervé Fournier; Antoine Vigneron


Publisher
Springer
Year
2007
Tongue
English
Weight
428 KB
Volume
49
Category
Article
ISSN
0178-4617

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📜 SIMILAR VOLUMES


An upper bound for the diameter of a pol
✍ David Barnette 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 515 KB

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