Author

Lin Niu

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Preprint Oct 2026

Star-critical Ramsey numbers involving large generalized books

For graphs $F$, $G$, and $H$, we write $F \to (G, H)$ if every red/blue edge-coloring of $F$ contains either a red copy of $G$ or a blue copy of $H$. The Ramsey number $R(G, H)$ is the smallest integer $N$ such that $K_N \to (G, H)$. Let $H := K_k + nK_h$ be the generalized book graph, and let $G := K_{p+1}(a_1, a_2, \...

Pei-Yu Huang, Qi-Zhong Lin, Lin Niu · 0 citations

Preprint Sep 2026

Polynomially superlinear growth of set-coloring Ramsey numbers

The set-coloring Ramsey number $R(k;r,s)$ is the least $N$ such that every assignment of an $s$-element subset of $[r]$ to each edge of $K_N$ yields a copy of $K_k$ whose edges share a common color. For every fixed prime power $q$, we construct infinitely many positive integer triples $(r,j,s)$ with $j\sim(q-1)^{-2/3}r...

Qi-Zhong Lin, Lin Niu · 0 citations