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Ramsey Theory: Unsolved Problems and Results

Ramsey Theory: Unsolved Problems and Results

Hardcover

AlgebraGeneral Mathematics

ISBN10: 3110576511
ISBN13: 9783110576511
Publisher: De Gruyter
Published: Aug 6 2018
Pages: 190
Weight: 1.12
Height: 0.50 Width: 6.69 Depth: 9.61
Language: English

Key problems and conjectures have played an important role in promoting the development of Ramsey theory, a field where great progress has been made during the past two decades, with some old problems solved and many new problems proposed. The present book will be helpful to readers who wish to learn about interesting problems in Ramsey theory, to see how they are interconnected, and then to study them in depth. This book is the first problem book of such scope in Ramsey theory. Many unsolved problems, conjectures and related partial results in Ramsey theory are presented, in areas such as extremal graph theory, additive number theory, discrete geometry, functional analysis, algorithm design, and in other areas. Most presented problems are easy to understand, but they may be difficult to solve. They can be appreciated on many levels and by a wide readership, ranging from undergraduate students majoring in mathematics to research mathematicians. This collection is an essential reference for mathematicians working in combinatorics and number theory, as well as for computer scientists studying algorithms.

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Xu, Xiaodong

Also in

Algebra