Another abstraction of the Erdős-Szekeres Happy End Theorem

Noga Alon; Ehsan Chiniforooshan; Vašek Chvátal; François Genes

Another abstraction of the Erdős-Szekeres Happy End Theorem

Noga Alon, Ehsan Chiniforooshan, Vašek Chvátal, François Genes

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The Happy End Theorem of Erdo{double acute}s and Szekeres asserts that for every integer n greater than two there is an integer N such that every set of N points in general position in the plane includes the n vertices of a convex n-gon. We generalize this theorem in the framework of certain simple structures, which we call "happy end spaces".

Original language	English (US)
Pages (from-to)	1-6
Number of pages	6
Journal	Electronic Journal of Combinatorics
Volume	17
Issue number	1
State	Published - Jan 1 2010

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

Cite this

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abstract = "The Happy End Theorem of Erdo\{double acute\}s and Szekeres asserts that for every integer n greater than two there is an integer N such that every set of N points in general position in the plane includes the n vertices of a convex n-gon. We generalize this theorem in the framework of certain simple structures, which we call {"}happy end spaces{"}.",

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AU - Genes, François

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N2 - The Happy End Theorem of Erdo{double acute}s and Szekeres asserts that for every integer n greater than two there is an integer N such that every set of N points in general position in the plane includes the n vertices of a convex n-gon. We generalize this theorem in the framework of certain simple structures, which we call "happy end spaces".

AB - The Happy End Theorem of Erdo{double acute}s and Szekeres asserts that for every integer n greater than two there is an integer N such that every set of N points in general position in the plane includes the n vertices of a convex n-gon. We generalize this theorem in the framework of certain simple structures, which we call "happy end spaces".

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Another abstraction of the Erdős-Szekeres Happy End Theorem

Abstract

All Science Journal Classification (ASJC) codes

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