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On a theorem of Erdös and Szekeres

✍ Scribed by Kenneth Kalmanson


Publisher
Elsevier Science
Year
1973
Tongue
English
Weight
197 KB
Volume
15
Category
Article
ISSN
0097-3165

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We prove the following result: For every two natural numbers n and q, n ~> q + 2, there is a natural number E(n, q) satisfying the following: (1) Let S be any set of points in the plane, no three on a line. If lSl ~> E(n, q), then there exists a convex n-gon whose points belong to S, for which the