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Ramsey theory

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Ramsey theory, named after the British mathematician and philosopher Frank P. Ramsey, is a branch of the mathematical field of combinatorics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some structure be to guarantee that a particular property holds?"

Ramsey theory - Wikipedia Jump to content From Wikipedia, the free encyclopedia Branch of mathematical combinatorics For Ramsey theory of infinite sets, see Infinitary combinatorics . Ramsey theory , named after the British mathematician and philosopher Frank P. Ramsey , is a branch of the mathematical field of combinatorics that focuses on the appearance of order in a substructure given a structure of a known size. Problems in Ramsey theory typically ask a question of the form: "how big must some structure be to guarantee that a particular property holds?" [ 1 ] Examples [ edit ] A typical re

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