Shatter functions with polynomial growth rates
Combinatorics
2017-01-25 v1 Discrete Mathematics
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.
Cite
@article{arxiv.1701.06632,
title = {Shatter functions with polynomial growth rates},
author = {Boris Bukh and Xavier Goaoc},
journal= {arXiv preprint arXiv:1701.06632},
year = {2017}
}
Comments
9 pages, 3 figures