Ramsey theory

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]

  1. ^ Graham, Ron; Butler, Steve (2015). Rudiments of Ramsey Theory (2nd ed.). American Mathematical Society. p. 1. ISBN 978-0-8218-4156-3.

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