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What is Combinatorial Geometry Problem Analysis about?

This document discusses a combinatorial problem in geometry proposed by Esther Klein. It presents two proofs that given any set of points, it is always possible to select a subset of points forming a convex polygon if the total number of points is large enough. The first proof uses a theorem of Ramsey to show this, and the second proof provides an alternative demonstration. However, both proofs give bounds on the minimum number of points that are much larger than necessary. Further work is needed to determi

Author

zarif

Language

EN