Some recent results in Ramsey theory
Combinatorics
2026-01-09 v1
Abstract
The purpose of this survey is to provide a gentle introduction to several recent breakthroughs in graph Ramsey theory. In particular, we will outline the proofs (due to various groups of authors) of exponential improvements to the diagonal, near-diagonal, and multicolour Ramsey numbers, improved lower bounds on and , and an exponential upper bound on the induced Ramsey numbers.
Keywords
Cite
@article{arxiv.2601.05221,
title = {Some recent results in Ramsey theory},
author = {Robert Morris},
journal= {arXiv preprint arXiv:2601.05221},
year = {2026}
}
Comments
37 pages, 2 figures