Ramsey theory : yesterday, today, and tomorrow
著者
書誌事項
Ramsey theory : yesterday, today, and tomorrow
（Progress in mathematics, v. 285）
Birkhäuser , Springer, c2011
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注記
Includes bibliographical references
内容説明・目次
内容説明
This book explores the theory's history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject; the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike.
目次
How This Book Came into Being.- Table of Contents.- Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts.- Eighty Years of Ramsey R(3, k). . . and Counting!.- Ramsey Numbers Involving Cycles.- On the function of Erd s and Rogers.- Large Monochromatic Components in Edge Colorings of Graphs.- Szlam's Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications.- Open Problems in Euclidean Ramsey Theory.- Chromatic Number of the Plane and Its Relatives, History,
Problems and Results: An Essay in 11 Parts.- Euclidean Distance Graphs on the Rational Points.- Open Problems Session.
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