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Erdős-Hajnal for excluding paths

Tung H. Nguyen

Source record

Source: arXiv

Published: Oct 17, 2026

arXiv: 2610.24887

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Source 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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