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arXiv · 2610.24887

Erdős-Hajnal for excluding paths

Tung H. Nguyen
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Abstract

We prove the Erdős-Hajnal conjecture for excluding an arbitrary path. A major step in our proof is a novel Gyárfás path argument based on the ideas of bookkeeping blockades and splitting paths, which may be of independent interest.

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Tung H. Nguyen. 2026-10-17. Erdős-Hajnal for excluding paths. https://arxiv.org/abs/2610.24887

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