English

Epsilon-approximations and epsilon-nets

Computational Geometry 2017-08-09 v3 Combinatorics Probability

Abstract

The use of random samples to approximate properties of geometric configurations has been an influential idea for both combinatorial and algorithmic purposes. This chapter considers two related notions---ϵ\epsilon-approximations and ϵ\epsilon-nets---that capture the most important quantitative properties that one would expect from a random sample with respect to an underlying geometric configuration.

Keywords

Cite

@article{arxiv.1702.03676,
  title  = {Epsilon-approximations and epsilon-nets},
  author = {Nabil H. Mustafa and Kasturi R. Varadarajan},
  journal= {arXiv preprint arXiv:1702.03676},
  year   = {2017}
}

Comments

Chapter 47 in Handbook on Discrete and Computational Geometry, 3rd edition. 27 pages

R2 v1 2026-06-22T18:16:31.835Z