Author

Xiao-Lin Wang

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Preprint Sep 2026

Induced Size-Ramsey Numbers of Odd Cycles via Spread Measures

We prove that, for every $k\ge2$ and every sufficiently large odd $n$, the induced size--Ramsey number of $C_n$ satisfies \[ \widehat R_{\mathrm{ind}}(C_n;k)=e^{\Theta(k)}n. \] This improves the previous upper bound of $e^{O(k\log k)}n$ and resolves a conjecture of Brada\v{c}, Dragani\'c and Sudakov. We obtain this res...

Lan Wang, Xiao-Lin Wang · 0 citations

Preprint Aug 2026

The Multicolour Size--Ramsey Number of an Even Cycle

We determine the $k$-colour size--Ramsey number of even cycles up to absolute constant factors. For every $k\ge2$ and every even $n\ge100\log k$, \[ \widehat R_k(C_n)=\Theta(k^2\log k)n. \] The lower bound follows from the corresponding result of Beke, Li and Sahasrabudhe for paths, while our upper bound improves the p...

Lan Wang, Xiao-Lin Wang · 1 citation