16 citations · 57 across the 76 of their papers we have counts for
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Cancellative hypergraphs and Steiner triple systems
Xizhi Liu
A triple system is cancellative if it does not contain three distinct sets such that the symmetric difference of and is contained in . We show that every cancell…
The feasible region of hypergraphs
Xizhi Liu, Dhruv Mubayi
Let be a family of -uniform hypergraphs. The feasible region of is the set of points in the unit square such that there exis…
A hypergraph Turán problem with no stability
Xizhi Liu, Dhruv Mubayi
A fundamental barrier in extremal hypergraph theory is the presence of many near-extremal constructions with very different structures. Indeed, the classical constructions due to K…
New Short Proofs to Some Stability Theorems
Xizhi Liu
We present new short proofs to both the exact and the stability results of two extremal problems. The first one is the extension of Turán's theorem in hypergraphs, which was firstl…
Structural results for conditionally intersecting families and some applications
Xizhi Liu
Let be fixed. Let be a -uniform family on . Then is -conditionally intersecting if it does not contain sets with union…