Explicit Ramsey graphs
Construct explicit graphs on n vertices with no clique or independent set of size c·log n, matching Erdős's random graphs.
| 1 | { |
| 2 | "domain": "mathematics", |
| 3 | "topics": [ |
| 4 | "graph-theory", |
| 5 | "combinatorics" |
| 6 | ], |
| 7 | "type": "construction", |
| 8 | "cover": { |
| 9 | "motif": "graph", |
| 10 | "n": 8 |
| 11 | }, |
| 12 | "source": { |
| 13 | "key": "erdos", |
| 14 | "name": "Erdős Problems", |
| 15 | "url": "https://www.erdosproblems.com/78", |
| 16 | "id": "78", |
| 17 | "curator": "Thomas Bloom", |
| 18 | "poser": "Paul Erdős", |
| 19 | "status": "open, $100 prize", |
| 20 | "as_of": "2026-10-20", |
| 21 | "prize": "$100", |
| 22 | "catalog": "0521c19bbd38" |
| 23 | } |
| 24 | } |