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An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions

✍ Scribed by Scott N. Armstrong; Charles K. Smart


Publisher
Springer
Year
2009
Tongue
English
Weight
121 KB
Volume
37
Category
Article
ISSN
0944-2669

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The upper bound theorem for polytopes: a
✍ Raimund Seidel 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 128 KB

Since at least half of the d edges incident to a vertex u of a simple d-polytope P either all point "up" or all point "down," v must be the unique "bottom" or "top" vertex of a face of P of dimension at least d/2. Thus the number of P's vertices is at most twice the number of such high-dimensional f