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E-book
Author Prömel, H. J.

Title Ramsey theory for discrete structures / Hans Jürgen Prömel
Published Cham : Springer, 2013
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Description 1 online resource (232 pages)
Contents Roots of Ramsey Theory -- Ramsey's Theorem -- From Hilbert's Cube Lemma to Rado's Thesis -- A Starting Point of Ramsey Theory: Parameter Sets -- Definitions and Basic Examples -- Hales-Jewett's Theorem -- Graham-Rothschild's Theorem -- Canonical Partitions -- Back to the Roots: Sets -- Ramsey Numbers -- Rapidly Growing Ramsey Functions -- Product Theorems -- A Quasi Ramsey Theorem -- Partition Relations for Cardinal Numbers -- Graphs and Hypergraphs -- Finite Graphs -- Infinite Graphs -- Hypergraphs on Parameter Sets -- Ramsey Statements for Random Graphs -- Sparse Ramsey Theorems -- Density Ramsey Theorems -- Szemerédi's Theorem -- Density Hales-Jewett Theorem
Part I. Roots of Ramsey theory -- Part II. A starting point of Ramsey theory: Parameter sets -- Part III. Back to the roots: Sets -- Part IV. Graphs and hypergraphs -- Part V. Density Ramsey theorems
Summary This monograph covers some of the most important developments in Ramsey theory from its beginnings in the early 20th century via its many breakthroughs to recent important developments in the early 21st century
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Ramsey theory.
Form Electronic book
ISBN 3319013149
3319013157 (electronic bk.)
9783319013145
9783319013152 (electronic bk.)