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Elementary Methods of Graph Ramsey Theory by Yusheng Li
Elementary Methods of Graph Ramsey Theory by Yusheng Li
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Elementary Methods of Graph Ramsey Theory

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Description

This book is intended to provide graduate students and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents allow the text to be used in seminars.  It is structured in thirteen chapters which are application-focused and largely independent, enabling readers to target specific topics and information to focus their study. The first chapter includes a true beginner’s overview of elementary examples in graph Ramsey theory mainly using combinatorial methods. The following chapters progress through topics including the probabilistic methods, algebraic construction, regularity method, but that's not all.  Many related interesting topics are also included in this book, such as the disproof for a conjecture of Borsuk on geometry, intersecting hypergraphs, Turán numbers and communication channels, etc.
Release date Australia
September 18th, 2023
Pages
346
Edition
1st ed. 2022
Audience
  • Professional & Vocational
Illustrations
10 Illustrations, black and white; XIII, 346 p. 10 illus.
ISBN-13
9783031127649
Product ID
38045770

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