Volume no :25, Issue no: 1, March (2023)

ERDÖS AND SZEKERES PROBLEM PROOFS AND GENERAL FORMULAS

Author's: Shintaro Sakai
Pages: [1] - [15]
Received Date: October 14, 2022
Submitted by:
DOI: http://dx.doi.org/10.18642/jantaa_7100122265

Abstract

For many years we have been plagued by the happy ending problem Erdös and Szekeres expected, but here’s what I’ve proved. Until now, it has not been possible to prove whether it is the formula they expected or whether it can be generalized. This time, I followed a rule and found a general formula that was generalized and completely different from what they expected.

Keywords

discrete geometry, discrete mathematics, Erdös and Szekeres convex polygon problem, happy ending problem.