Unit distances (Q801059)
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scientific article; zbMATH DE number 3877183
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unit distances |
scientific article; zbMATH DE number 3877183 |
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Unit distances (English)
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1984
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\textit{P. Erdős} [Am. Math. Mon. 53, 248-250 (1946; Zbl 0060.348)] asked for the maximal number f(n) of unit distances determined by n points in the plane. The authors show \(f(n)\leq n^{3/2-\epsilon},\) where \(\epsilon >0\) is independent of n; the result improves previously known bounds.
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maximal number of unit distances
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points in the plane
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