Ramsey theory

URI: https://gptkb.org/entity/Ramsey_theory
GPTKB entity
AI-created image of Ramsey theory
AI-created image
Statements (49)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo graphs
numbers
sets
gptkbp:field gptkb:mathematics
combinatorics
gptkbp:firstPublished 1930
gptkbp:formedBy gptkb:Frank_P._Ramsey
gptkbp:hasConcept inevitability of order in large structures
https://www.w3.org/2000/01/rdf-schema#label Ramsey theory
gptkbp:namedAfter gptkb:Frank_P._Ramsey
gptkbp:notableAchievement in any coloring of a sufficiently large structure, a monochromatic substructure exists
gptkbp:notableIdea gptkb:Ramsey_number
gptkb:Ramsey's_theorem_for_colorings
gptkb:Ramsey's_theorem_for_combinatorics
gptkb:Ramsey's_theorem_for_finite_graphs
gptkb:Ramsey's_theorem_for_hypergraphs
gptkb:Ramsey's_theorem_for_infinite_graphs
gptkb:Ramsey's_theorem_for_logic
gptkb:Ramsey's_theorem_for_mathematics
gptkb:Ramsey's_theorem_for_numbers
gptkb:Ramsey's_theorem_for_pairs
gptkb:Ramsey's_theorem_for_partitions
gptkb:Ramsey's_theorem_for_sets
gptkb:Ramsey's_theorem_for_structures
gptkb:Ramsey's_theorem_for_triples
gptkb:Ramsey_cardinal
gptkb:Ramsey_space
gptkb:Ramsey_ultrafilter
gptkb:anti-Ramsey_theory
gptkb:finite_Ramsey_theorem
gptkb:infinite_Ramsey_theorem
Ramsey class
Ramsey degree
Ramsey property
partition calculus
gptkbp:relatedTo gptkb:Ramsey's_theorem
gptkb:Ramsey_number
gptkb:Erdős–Rado_theorem
gptkb:van_der_Waerden's_theorem
coloring problems
partition regularity
gptkbp:studies conditions for guaranteed patterns
gptkbp:usedIn gptkb:logic
number theory
theoretical computer science
graph theory
gptkbp:bfsParent gptkb:Frank_Ramsey
gptkbp:bfsLayer 4