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In combinatorics, Ramsey's theorem, in one of its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently large complete graph.
Ramsey numbers, Induced Ramsey & Extensions of the theorem
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displaystyle graph ramsey theorem vertices numbers number induced bound edges complete colours two monochromatic red proof graphs blue bounds erdős
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Ramsey's theorem | is a | foundational result in combinatorics | 0.90 | text |
| Ramsey's theorem | related to history | Similar | 0.60 | section |
| Ramsey's theorem | related to history | Ramsey's | 0.60 | section |
| Ramsey's theorem | related to history | Ramsey | 0.60 | section |
| Ramsey's theorem | related to history | In | 0.60 | section |
| Ramsey's theorem | related to history | Erdős | 0.60 | section |
| Ramsey's theorem | related to history | Hajnal | 0.60 | section |
| Ramsey's theorem | related to history | Pósa | 0.60 | section |
| Ramsey's theorem | related to history | Deuber | 0.60 | section |
| Ramsey's theorem | related to history | Rödl | 0.60 | section |
| Ramsey's theorem | related to history | However | 0.60 | section |
| Ramsey's theorem | related to history | It | 0.60 | section |
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