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Status: Supported ×Topic: Advanced Combinatorial Mathematics ×Clear all

1 claim from 1 paper

1. Mathematics › Advanced Combinatorial Mathematics

   Computer solution to the 17-point Erdős-Szekeres problem

   Szekeres and Peters · The ANZIAM Journal · 2006

   The authors describe a computer proof that any 17 points in the plane, no three collinear, contain a convex 6-subset, using a combinatorial model of point configurations.

   Supported1 claim, checked
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   1. Supported · 71%Any 17 points in a plane, with no three in a line, always include six that form a convex hexagon, shown here by computer proof.“We describe a computer proof of the 17-point version of a conjecture originally made by Klein-Szekeres in 1932 (now commonly known as the “Happy End Problem”) that a planar configuration of 17 points, no 3 points collinear, always contains a convex 6-subset.”