A new proof of the Erdős-Szekeres convex k-gon result (Q1074867)
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scientific article; zbMATH DE number 3949172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of the Erdős-Szekeres convex k-gon result |
scientific article; zbMATH DE number 3949172 |
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A new proof of the Erdős-Szekeres convex k-gon result (English)
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1986
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This is a new, short proof of the following theorem: For any \(k\geq 3\), there is a least integer N such that any set of N points in the plane, no three of which are collinear, contains k points which are the vertices of a convex k-gon. An extension to n-dimensional point sets is indicated.
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Erdős-Szekeres convex k-gon
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Ramsey's theorem
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