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math.CO2024★ 1 cited
On the number of H-free hypergraphs
Tao Jiang, Sean Longbrake
Two central problems in extremal combinatorics are concerned with estimating the number , the size of the largest -free hypergraph on vertices, and the number $forb…
math.CO2024★ 2 cited
Tree Posets: Supersaturation, Enumeration, and Randomness
Tao Jiang, Sean Longbrake, Sam Spiro +1
We develop a powerful tool for embedding any tree poset of height in the Boolean lattice which allows us to solve several open problems in the area. We show that: * If …