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Zi-Xuan Xu

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Preprint Sep 2026

Generalized short monochromatic odd cycles

Answering a question of Noga Alon, we generalize a result of Janzer and Yip to show that every $k$-edge-coloring of $K_{r^k+1}$ contains a monochromatic subgraph with chromatic number at least $r+1$ and diameter $O(k^{3/2}r^{k/2}\log r)$.

Sammy Luo, Zi-Xuan Xu · 0 citations