For 3-graphs of bounded VC2 dimension, an (ε,ψ)-regular partition exists with twr(twr(poly(1/ε))) vertex parts, improving the generic wowzer bound to tower type.
Terry, V Cℓ-dimension and the jump to the fastest speed of a hereditary L-property, Proc
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Regularity for hypergraphs with bounded VC$_2$ dimension
For 3-graphs of bounded VC2 dimension, an (ε,ψ)-regular partition exists with twr(twr(poly(1/ε))) vertex parts, improving the generic wowzer bound to tower type.