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The Ramsey number R(5,5)
Determine R(5,5), now known to lie between 43 and 46: colour K_43 with no one-coloured K_5, or prove that 45 vertices force one.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "graph-theory", |
| 5 | "combinatorics" |
| 6 | ], |
| 7 | "type": "construction", |
| 8 | "also": [ |
| 9 | "proof" |
| 10 | ], |
| 11 | "cover": { |
| 12 | "motif": "graph", |
| 13 | "n": 8 |
| 14 | }, |
| 15 | "source": { |
| 16 | "key": "ramsey-survey", |
| 17 | "name": "Small Ramsey Numbers (Radziszowski, dynamic survey DS1)", |
| 18 | "url": "https://www.combinatorics.org/ds1", |
| 19 | "id": "R(5,5)", |
| 20 | "curator": "Stanisław Radziszowski", |
| 21 | "status": "open", |
| 22 | "as_of": "2026-10-20", |
| 23 | "catalog": "0521c19bbd38" |
| 24 | }, |
| 25 | "review": true, |
| 26 | "approval": "first-time" |
| 27 | } |