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Note on the Erdős-Szekeres theorem - MaRDI portal

Note on the Erdős-Szekeres theorem (Q1387857)

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scientific article; zbMATH DE number 1160555
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Note on the Erdős-Szekeres theorem
scientific article; zbMATH DE number 1160555

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    Note on the Erdős-Szekeres theorem (English)
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    15 December 1998
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    The authors give the following improvement of the well-known Erdős-Szekeres convex \(n\)-gon theorem: Each set of \({\binom {2n-5}{n-2}}+2 \) points in general position contains \(n\)-points in convex position, i.e. forming the vertex set of a convex \(n\)-gon.
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    Erdős-Szekeres convex \(n\)-gon theorem
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