Xiaoyu He

collaborators

3 papers

math.CO2026

Hypergraph Ramsey numbers with quasipolynomial growth rate

Xiaoyu He, Jiaxi Nie, Logan Post +1

For a 3-uniform hypergraph (3-graph) $F$ , let $r (F, n)$ be the smallest $N$ such that any $N$ -vertex $F$ -free 3-graph has an independent set of size $n$ . We construct a $3$ -graph $H…

math.CO2025

A question of ErdÅs and Graham on Egyptian fractions

David Conlon, Jacob Fox, Xiaoyu He +4

Answering a question of ErdÅs and Graham, we show that for each fixed positive rational number $x$ the number of ways to write $x$ as a sum of reciprocals of distinct positive int…

math.CO2025

When are off-diagonal hypergraph Ramsey numbers polynomial?

David Conlon, Jacob Fox, Benjamin Gunby +5

A natural open problem in Ramsey theory is to determine those $3$ -graphs $H$ for which the off-diagonal Ramsey number $r (H, K_{n}^{(3)})$ grows polynomially with $n$ . We make substan…

Hypergraph Ramsey numbers with quasipolynomial growth rate

A question of ErdÅs and Graham on Egyptian fractions

When are off-diagonal hypergraph Ramsey numbers polynomial?

A question of ErdÅs and Graham on Egyptian fractions