An improved bound on the number of unit area triangles (Q603876)
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scientific article; zbMATH DE number 5813761
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An improved bound on the number of unit area triangles |
scientific article; zbMATH DE number 5813761 |
Statements
An improved bound on the number of unit area triangles (English)
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8 November 2010
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The paper proves that \(n\) points in the plane determine at most \(n^{9/4+\epsilon}\) triangles of unit area, for any \(\epsilon>0\). This is improvement on the result of \textit{A. Dumitrescu, M. Sharir} and \textit{C. D. Tóth} [J. Comb. Theory Ser. A, 116, 1177--1198 (2009; Zbl 1179.52026)], which proved the last record, \(n^{44/19}\).
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geometric incidences
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repeated configurations
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unit area triangles
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cutting
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