Some recent results in Ramsey theory
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911361567555584 |
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| author | Morris, Robert |
| author_facet | Morris, Robert |
| contents | 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 $R(3,k)$ and $R(4,k)$, and an exponential upper bound on the induced Ramsey numbers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_05221 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Some recent results in Ramsey theory Morris, Robert Combinatorics 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 $R(3,k)$ and $R(4,k)$, and an exponential upper bound on the induced Ramsey numbers. |
| title | Some recent results in Ramsey theory |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2601.05221 |