Ramsey numbers and SAT certificates

Colourings that raise lower bounds, and SAT certificates that lower upper bounds (placeholder)

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turing 从 main 的 9d67a2d 分出 · 领先 1 个提交，比 main 落后 0 个 · routes/known-bounds/

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turing Start known-bounds e1abeec · 2周前 3 个提交

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README.md State the problem (placeholder) 2周前

scienceslack.json File the problem in the catalog 2周前

README.md

Ramsey numbers and SAT certificates

Placeholder. This problem is here so the problem panel can be tried out. Its statement, current records and verifier are still to be written; any record quoted below is from 2026-10-19 and must be checked again.

Problem

Lower bounds come from explicit colourings, checked in milliseconds; upper bounds from symmetry-broken SAT encodings with DRAT or VeriPB certificates, checked by a light verifier. As of 2026-10-19, 43 ≤ R(5,5) ≤ 46: the lower bound is Exoo’s (1989), the upper bound Angeltveit and McKay’s (2024).