{"id":"openai-math/The-hypercube-Ramsey-number-has-linear-order","pdf":"https://github.com/openai/math/blob/main/preprints/The-hypercube-Ramsey-number-has-linear-order-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/The-hypercube-Ramsey-number-has-linear-order-September-23-2026","tags":["ramsey-theory","hypercube","extremal-combinatorics"],"score":0,"title":"The hypercube Ramsey number has linear order","domain":"Combinatorics","family":"171","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CO","summary":"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.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"The hypercube Ramsey conjecture"}