Title
Shatter Functions with Polynomial Growth Rates
Abstract
We study how a single value of the shatter function of a set system restricts its asymptotic growth. Along the way, we refute a conjecture of Bondy and Hajnal which generalizes Sauer's lemma.
Year
DOI
Venue
2017
10.1137/17M1113680
SIAM JOURNAL ON DISCRETE MATHEMATICS
Keywords
Field
DocType
shatter function,extremal set theory,Sauer's lemma
Discrete mathematics,Combinatorics,Polynomial,Conjecture,Mathematics,Lemma (mathematics)
Journal
Volume
Issue
ISSN
33
2
0895-4801
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Boris Bukh18416.96
Xavier Goaoc213820.76