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The strength of Ramsey's theorem for pairs and arbitrarily many colors
, 2017 Theodore A. Slaman, Keita Yokoyama
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The Strength of Ramsey's Theorem For Pairs over trees: I. Weak König's Lemma
, 2019 Chi Tat Chong, Wei Li, Lu Liu, Yue Yang
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Ramsey type theorems in the plane
Journal of Combinatorial Theory, Series A, 1979 openaire +2 more sources
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2019
Ramsey theory studies, generally speaking, the following problem: Suppose that a given structure is colored using finitely many colors (equivalently, partition into finitely many pieces). Which combinatorial configurations can be found that are monochromatic, i.e.
Isaac Goldbring +2 more
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Ramsey theory studies, generally speaking, the following problem: Suppose that a given structure is colored using finitely many colors (equivalently, partition into finitely many pieces). Which combinatorial configurations can be found that are monochromatic, i.e.
Isaac Goldbring +2 more
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2013
Frank Plumpton Ramsey was an extraordinary man. He was born in 1903 in Cambridge as the elder son of A.S. Ramsey who was a mathematician and President of Magdalene College. His younger brother Michael went on to become Archbishop of Canterbury.
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Frank Plumpton Ramsey was an extraordinary man. He was born in 1903 in Cambridge as the elder son of A.S. Ramsey who was a mathematician and President of Magdalene College. His younger brother Michael went on to become Archbishop of Canterbury.
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2001
In 1930 Frank Plumpton Ramsey had written a paper On a problem in formal logic which initiated a part of discrete mathematics nowadays known as Ramsey Theory. At about the same time B.L. van der Waerden (1927) proved his famous Ramsey-type result on arithmetical progressions. A few years later Ramsey’s theorem was rediscovered by P.
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In 1930 Frank Plumpton Ramsey had written a paper On a problem in formal logic which initiated a part of discrete mathematics nowadays known as Ramsey Theory. At about the same time B.L. van der Waerden (1927) proved his famous Ramsey-type result on arithmetical progressions. A few years later Ramsey’s theorem was rediscovered by P.
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2012
In this chapter, the following theorem—which can be considered as the nucleus of Ramsey Theory—will be discussed in great detail.
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In this chapter, the following theorem—which can be considered as the nucleus of Ramsey Theory—will be discussed in great detail.
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