{"id":"openai-math/Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers","pdf":"https://github.com/openai/math/blob/main/preprints/Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers-September-24-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Sharp-Logarithmic-Exponents-for-Fixed-Off-Diagonal-Ramsey-Numbers-September-24-2026","tags":["combinatorics","ramsey-theory","extremal-graph-theory"],"score":0,"title":"Sharp logarithmic exponents for fixed off-diagonal Ramsey numbers","domain":"Combinatorics","family":"170","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CO","summary":"For every fixed integer s ≥ 6, we determine the sharp logarithmic exponent of the off-diagonal Ramsey number: $`\\displaystyle r(s,t)=\\frac{t^{s-1}}{(\\log t)^{s-2+o(1)}} \\qquad (t\\longrightarrow\\infty).`$","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-24","reactions":{},"formalized":false,"family_title":"Sharp logarithmic exponents for off-diagonal Ramsey numbers"}