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arXiv · 2610.15293

A note on the logarithmic exponent of Ramsey number $r(4,t)$

Kaizhe Chen
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Abstract

In this short note, we point out that the recent lower bounds for off-diagonal Ramsey numbers $r(s,t)$ with fixed $s\ge 5$, together with the recent proof of the Ajtai--Erdős--Komlós--Szemerédi independence conjecture, imply \[ r(4,t)=\frac{t^3}{(\log t)^{2+o(1)}}. \] This note is solely for informal circulation and will not be submitted for publication.

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Kaizhe Chen. 2026-10-11. A note on the logarithmic exponent of Ramsey number $r(4,t)$. https://arxiv.org/abs/2610.15293

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