On separation of plane convex sets
type: Item
instance of: scholarly article
title: On separation of plane convex sets
zbMATH Open document ID: 0772.52003
author: E. Rivera-Campo
author: Jenö Töröcsik
published in: European Journal of Combinatorics
publication date: 1993-05-16T00:00:00Z
review text: In this short paper, the authors show that in any family \(F\) of \(n \geq 5\) convex sets in \(E^ 2\) with pairwise disjoint relative interiors, there are two sets \(A\) and \(B\) such that every line that separates them, separates either \(A\) or \(B\) from at least \((n + 28)/30\) sets in \(F\).
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 168333
zbMATH Keywords: plane convex sets
zbMATH Keywords: separation
reviewed by: T. Bisztriczky
MaRDI profile type: Publication
full work available at URL: eujc.1993.1015
OpenAlex ID: W2017877616
DOI: 10.1006/EUJC.1993.1015
description: scientific article; zbMATH DE number 168333