Lower bounds for weak epsilon-nets and stair-convexity

Author:

Bukh Boris,Matoušek Jiří,Nivasch Gabriel

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference23 articles.

1. N. Alon, A non-linear lower bound for planar epsilon-nets, in 51st Annual IEEE Symposium on Foundations of Computer Science (FOCS’10), to appear; http://www.math.tau.ac.il/ nogaa/PDFS/epsnet3.pdf .

2. N. Alon, I. Bárány, Z. Füredi and D. J. Kleitman, Point selections and weak ɛ-nets for convex hulls, Combinatorics, Probability and Computing 1 (1992), 189–200.

3. N. Alon, G. Kalai, J. Matoušek and R. Meshulam, Transversal numbers for hypergraphs arising in geometry, Advances in Applied Mathematics 130 (2002), 2509–2514.

4. N. Alon, H. Kaplan, G. Nivasch, M. Sharir and S. Smorodinsky, Weak ɛ-nets and interval chains, Journal of the ACM 55, article 28, (2008), 32 pp.

5. N. Alon and D. Kleitman, Piercing convex sets and the Hadwiger-Debrunner (p, q)-problem, Advances in Mathematics 96 (1992), 103–112.

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