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Author

Tian-Chi Yang

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Preprint Oct 2026

A counterexample to the Erd\H{o}s--S\'os bipartite-link conjecture

Erd\H{o}s and S\'os conjectured that every $n$-vertex $3$-uniform hypergraph whose link graphs are all bipartite has at most $(1/4+o(1))\binom n3$ edges. We disprove this conjecture by constructing counterexamples with edge density at least $0.250000356>1/4$ for all sufficiently large $n$.

Tian-Chi Yang · 0 citations
Preprint Sep 2026

Extremal hypergraphs without generalized 4-cycles

In 1977, Erd\H{o}s posed the problem of determining the maximum number $f_r(n)$ of edges in an $n$-vertex $r$-uniform hypergraph in which all disjoint pairs of edges have distinct unions. F\"uredi later conjectured that, for every fixed $r\ge 4$ and all sufficiently large $n$, $f_r(n)=\binom{n-1}{r-1}+\lfloor \frac{n-1...

Hao-Wei Huang, Jie Ma, Tian-Chi Yang · 0 citations

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