### 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) |
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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

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## Cite this

Alon, N., Chiniforooshan, E., Chvátal, V., & Genes, F. (2010). Another abstraction of the Erdős-Szekeres Happy End Theorem.

*Electronic Journal of Combinatorics*,*17*(1), 1-6.