Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Chen, Kaizhe
Institution: Princeton University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221775532