Ramsey's theorem for combinatorics
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
graphs
hypergraphs |
| gptkbp:consequence |
existence of Ramsey numbers
|
| gptkbp:field |
combinatorics
|
| gptkbp:generalizes |
gptkb:pigeonhole_principle
|
| https://www.w3.org/2000/01/rdf-schema#label |
Ramsey's theorem for combinatorics
|
| gptkbp:namedAfter |
gptkb:Frank_P._Ramsey
|
| gptkbp:publicationYear |
1930
|
| gptkbp:publishedIn |
gptkb:Proceedings_of_the_London_Mathematical_Society
|
| gptkbp:relatedTo |
gptkb:Ramsey_theory
|
| gptkbp:state |
In any coloring of the edges of a sufficiently large complete graph, there exists a monochromatic complete subgraph of a given size.
|
| gptkbp:usedIn |
gptkb:logic
number theory theoretical computer science graph theory |
| gptkbp:bfsParent |
gptkb:Ramsey_theory
|
| gptkbp:bfsLayer |
5
|