Title
Separating families of convex sets
Abstract
Two elements are separated by a set S, if S contains exactly one of them. We prove that any set of n points in general position in the plane can be separated by O(nloglogn/logn) convex sets, and for some point sets @W(n/logn) convex sets are necessary.
Year
DOI
Venue
2013
10.1016/j.comgeo.2013.06.001
Comput. Geom.
Keywords
Field
DocType
n point,general position,point set,convex set,separating family,erdős szekeres theorem
Discrete mathematics,Absolutely convex set,Combinatorics,Disjoint sets,Convex combination,Radon's theorem,Convex hull,Convex set,Subderivative,Mathematics,Convex analysis
Journal
Volume
Issue
ISSN
46
9
0925-7721
Citations 
PageRank 
References 
2
0.46
3
Authors
2
Name
Order
Citations
PageRank
Dániel Gerbner14621.61
Géza Tóth258155.60