Title
Erdős–Szekeres Theorem for Point Sets with Forbidden Subconfigurations
Abstract
According to the Erdős–Szekeres theorem, every set of n points in the plane contains roughly logn points in convex position. We investigate how this bound changes if our point set does not contain a subset that belongs to a fixed order type.
Year
DOI
Venue
2012
10.1007/s00454-012-9424-6
Discrete & Computational Geometry
Keywords
Field
DocType
Order type,Erdős–Szekeres theorem,Combinatorial convexity
Intersection theorem,Discrete mathematics,Combinatorics,Brouwer fixed-point theorem,Krein–Milman theorem,Kakutani fixed-point theorem,Convex position,Fixed-point theorem,Danskin's theorem,Mathematics,Erdős–Szekeres theorem
Journal
Volume
Issue
ISSN
48
2
0179-5376
Citations 
PageRank 
References 
1
0.34
11
Authors
2
Name
Order
Citations
PageRank
Gyula Károlyi110916.09
Géza Tóth258155.60