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arXiv · 2609.17773

Generalized short monochromatic odd cycles

Sammy Luo·Zixuan Xu
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Abstract

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 $O(k^{3/2}r^{k/2}\log r)$.

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Sammy Luo, Zixuan Xu. 2026-09-15. Generalized short monochromatic odd cycles. https://arxiv.org/abs/2609.17773

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