Title
Separation with restricted families of sets
Abstract
Given a finite n-element set X, a family of subsets F ź 2 X is said to separate X if any two elements of X are separated by at least one member of F . It is shown that if | F | 2 n - 1 , then one can select ź log ź n ź + 1 members of F that separate X. If | F | ź α 2 n for some 0
Year
DOI
Venue
2016
10.1016/j.jcta.2016.06.002
J. Comb. Theory, Ser. A
Keywords
Field
DocType
Search theory,Separation,VC-dimension,Erdős–Szekeres theorem
Family of sets,Discrete mathematics,VC dimension,Combinatorics,Regular polygon,Mathematics,Bounded function,Erdős–Szekeres theorem
Journal
Volume
Issue
ISSN
144
C
0097-3165
Citations 
PageRank 
References 
0
0.34
3
Authors
5
Name
Order
Citations
PageRank
Zsolt Langi172.53
Marton Naszodi2217.87
János Pach32366292.28
Gábor Tardos41261140.58
Géza Tóth5729.25