KnowraRamsey theoryLinked fromLinked fromThe 19 pages that link to Ramsey theory, each with the reason it gives.All 19Broader topic 2Related 6Narrower topic 11Schur's theoremNarrower topic: Schur's theorem is an early finite-coloring result in additive Ramsey theory.Ramsey's theoremNarrower topic: The theorem gives the field its central principle of finding order in arbitrary colorings.Richard RadoNarrower topic: Rado’s theorems helped establish the field’s central questions about unavoidable structure.Paris–Harrington theoremNarrower topic: The theorem is a finitary result in this broader area.Hales–Jewett theoremNarrower topic: The theorem exemplifies the principle that disorder forces a monochromatic pattern.Erdős–Rado theoremNarrower topic: The theorem provides an infinite-cardinal guarantee within Ramsey theory.Big-line-big-clique conjectureNarrower topic: The conjecture is a geometric Ramsey-type demand for one of two contrasting structures.Burr–Erdős conjectureNarrower topic: The conjecture is a sparse-graph problem within this broader area.Combinatorial principlesNarrower topic: It uses counting and pigeonhole reasoning to prove unavoidable patterns.Erdős–Gyárfás conjectureNarrower topic: The conjecture is a specific unavoidable-substructure problem in graph theory.Friends and strangers theoremNarrower topic: The six-person result is the smallest nontrivial instance of its general existence principle.