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The logarithmic exponent of the Ramsey number r(4,t)r(4,t)

Qizhong Lin, Qiuyang Zhang

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Source: arXiv

Published: Oct 13, 2026

arXiv: 2610.17891

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Source abstract

We prove that r(4,t)≥t3(log⁡t)2+o(1)r(4,t) \ge \frac{t^3}{(\log t)^{2+o(1)}}. This improves the lower bound of Mattheus and Verstraëte (Ann. of Math., 2024) by a factor of (log⁡t)2−o(1)(\log t)^{2-o(1)}.

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