A generalisation of the Erdős-Szekeres theorem to disjoint convex sets (Q1387855)
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scientific article; zbMATH DE number 1160553
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalisation of the Erdős-Szekeres theorem to disjoint convex sets |
scientific article; zbMATH DE number 1160553 |
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A generalisation of the Erdős-Szekeres theorem to disjoint convex sets (English)
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15 December 1998
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The authors improve the well-known generalization of the Erdős-Szekeres convex \(n\)-gon theorem in \textit{T. Bisztriczky} and \textit{G. Fejes Tóth} [J. Reine Angew. Math. 395, 167-170 (1989; Zbl 0654.52003) and Combinatorica 10, No. 2, 195-202 (1990; Zbl 0717.52003)]. This is done by using the idea of the original proof of Erdős and Szekeres.
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Erdős-Szekeres convex \(n\)-gon theorem
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disjoint convex sets
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