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math.CO2026
Sharp bounds on -wise generalizations of oddtowns and eventowns
Zichao Dong, Minghui Ouyang, Lan Wei
For , an -town is a set family in which every -wise intersection has parity . Denote by $f_{\boldsymbolα}…
math.CO2026
A dichotomy for hypergraph Zarankiewicz problems on axis-parallel boxes
Ting-Wei Chao, Zichao Dong, Hong Liu +2
We study the Zarankiewicz problem for -partite, -uniform intersection hypergraphs arising from families of axis-parallel boxes in with prescribed direction…