A generalisation of the Erdős-Szekeres theorem to disjoint convex sets
type: Item
instance of: scholarly article
title: A generalisation of the Erdős-Szekeres theorem to disjoint convex sets
zbMATH Open document ID: 0903.52004
DOI: 10.1007/PL00009361
published in: Discrete \& Computational Geometry
publication date: 1998-12-15T00:00:00Z
review text: The authors improve the well-known generalization of the Erdős-Szekeres convex \(n\)-gon theorem in \textit{T. Bisztriczky} and \textit{G. Fejes Tóth} [J. Reine Angew. Math. 395, 167-170 (1989; Zbl 0654.52003) and Combinatorica 10, No. 2, 195-202 (1990; Zbl 0717.52003)]. This is done by using the idea of the original proof of Erdős and Szekeres.
Mathematics Subject Classification ID: 52A37
Mathematics Subject Classification ID: 05B99
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 1160553
zbMATH Keywords: Erdős-Szekeres convex \(n\)-gon theorem
zbMATH Keywords: disjoint convex sets
author: János Pach
author: Géza Tóth
reviewed by: S. S. Kutateladze
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1160553