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The shortest distance among points in general position

✍ Scribed by Géza Tóth


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
406 KB
Volume
8
Category
Article
ISSN
0925-7721

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The multiplicity of the two smallest dis
✍ György Csizmadia 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 864 KB

Let 1 = d~ <d2 < ... <dk denote the distinct distances determined by a set of n points in the plane. The multiplicity of the two smallest distances is smaller than 6n and it is maximized by the triangular lattice, where d2 --x/~. We partially answer a question of Erd6s and Vesztergombi by proving th