Point Selections and Weak ε-Nets for Convex Hulls

Noga Alon, Imre Bárány, Z. Füredi, Daniel J. Kleitman

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

One of our results: let X be a finite set on the plane, 0 <ε <1, then there exists a set F (a weak ε-net) of size at most 7/ε2 such that every convex set containing at least ε|X| elements of X intersects F. Note that the size of F is independent of the size of X.

Original languageEnglish
Pages (from-to)189-200
Number of pages12
JournalCombinatorics Probability and Computing
Volume1
Issue number3
DOIs
Publication statusPublished - 1992

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Convex Hull
Intersect
Convex Sets
Finite Set

ASJC Scopus subject areas

  • Applied Mathematics
  • Theoretical Computer Science
  • Statistics and Probability
  • Computational Theory and Mathematics

Cite this

Point Selections and Weak ε-Nets for Convex Hulls. / Alon, Noga; Bárány, Imre; Füredi, Z.; Kleitman, Daniel J.

In: Combinatorics Probability and Computing, Vol. 1, No. 3, 1992, p. 189-200.

Research output: Contribution to journalArticle

Alon, Noga ; Bárány, Imre ; Füredi, Z. ; Kleitman, Daniel J. / Point Selections and Weak ε-Nets for Convex Hulls. In: Combinatorics Probability and Computing. 1992 ; Vol. 1, No. 3. pp. 189-200.
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