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- Rudiments of Ramsey Theory
Rudiments of Ramsey Theory
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In every sufficiently large structure which has been partitioned there will always be some well-behaved structure in one of the parts. This takes many forms. For example, colourings of the integers by finitely many colours must have long monochromatic arithmetic progressions, and colourings of the edges of large graphs must have monochromatic subgraphs of a specified type. This book explores the basic results and variations of this theory.
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