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Distance Sets of Well-Distributed Planar Point Sets

✍ Scribed by A. Iosevich; I. Laba


Publisher
Springer
Year
2004
Tongue
English
Weight
191 KB
Volume
31
Category
Article
ISSN
0179-5376

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πŸ“œ SIMILAR VOLUMES


On large distances in planar sets
✍ Katalin Vesztergombi πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 383 KB

Let n k denote the number of times the kth largest distance occurs among a set S of n points in the Euclidean plane. We prove that n2 ~< 2~n for arbitrary set S. This upper bound is sharp. We consider the set S of n arbitrary points in R 2. We denote the largest distance between two points in S by