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math.CO2026
Ordered matchings versus triangles via pseudorandom triangle-free graphs
Wen Chen, Qizhong Lin, Chunlin You
For ordered graphs , let $\rt(H_1,\ldots,H_t)$ denote the least integer such that every -coloring of the edges of the naturally ordered complete graph on $[N…
math.CO2026
The Ramsey threshold for trees versus odd cycles
Qizhong Lin, Chunlin You
A longstanding fundamental problem of Burr, Erdős, Faudree, Rousseau and Schelp (\emph{Trans. Amer. Math. Soc.}, 1982) is to determine the exact value of the least integer ,…
math.CO2026
Towards a conjecture on degree conditions for Ramsey goodness of paths
Chunlin You
Recently, Aragão, Marciano, and Mendonça [\emph{European J. Combin.}, 2025] conjectured that for any graph on vertices satisfying , the…