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The hypercube Ramsey number has linear order

Source: github.com/openai/math/tree/main/preprints/The-hypercube-Ra…

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OpenAI Mathopenai-math/The-hypercube-Ramsey-number-has-linear-orderSep 23, 2026math.COAI-generatedscore 0

We prove that the two-color Ramsey number of the n -dimensional binary cube is at most $C2^n$, where C is an absolute constant. This resolves positively the hypercube Ramsey conjecture of Burr and Erdős.

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