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Erdős-Hajnal for excluding paths

Year: 2026
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W7222994790
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