Author

Chun-Lin You

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Preprint Sep 2026

Ordered matchings versus triangles via pseudorandom triangle-free graphs

For ordered graphs $H_1,\ldots,H_t$, let $\rt(H_1,\ldots,H_t)$ denote the least integer $N$ such that every $t$-coloring of the edges of the naturally ordered complete graph on $[N]$ contains an ordered copy of $H_i$ in color $i$ for some $i\in[t]$. We prove that a uniformly random ordered matching $M$ on $n$ vertices...

Wen Chen, Qizhong Lin, Chun-Lin You · 0 citations

Preprint Sep 2026

The Ramsey threshold for trees versus odd cycles

A longstanding fundamental problem of Burr, Erd\H{o}s, Faudree, Rousseau and Schelp (\emph{Trans. Amer. Math. Soc.}, 1982) is to determine the exact value of the least integer $f(m)$, for odd $m\ge3$, such that every tree $T_n$ on $n\ge f(m)$ vertices satisfies $R(T_n,C_m)=2n-1$. We settle this problem for all sufficie...

Qizhong Lin, Chun-Lin You · 0 citations