书目名称 | Elementary Methods ofGraph Ramsey Theory | 编辑 | Yusheng Li,Qizhong Lin | 视频video | | 概述 | Exercises included.Readers can easily extract basic idea underlying each approach.Written for graduate students in graph theory | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | .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. . | 出版日期 | Book 2022 | 关键词 | Graph Ramsey theory; Turán number; Probabilistic method; Algebraic construction; Lovász Local Lemma; Szem | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-12762-5 | isbn_softcover | 978-3-031-12764-9 | isbn_ebook | 978-3-031-12762-5Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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