Shatter functions with polynomial growth rates
classification
🧮 math.CO
cs.DM
keywords
growthshatteralongasymptoticbondyconjecturefunctionfunctions
read the original 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.
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