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Ramsey theory

   Also found in: Wikipedia 0.01 sec.
Ramsey theory [′ram·zē ‚thē·ə·rē]
(mathematics)
The theory of order that must exist in subsets of sufficiently large sets, as illustrated by Ramsey's theorem and van der Waerden's theorem.
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Along with the exercises come both hints and solutions as he works through basic enumeration, the sieve process, permutations, classical enumeration problems in graph theory, parity and duality, connectivity, factors of graphs, independent sets of points, chromatic number, problems for graphs, the spectra of graphs and random walks, automorphisms of graphs, hypergraphs, Ramsey theory and reconstruction.
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