Elementary Methods of Graph Ramsey Theory / by Yusheng Li, Qizhong Lin

By:

Li, Yusheng [VerfasserIn]

Contributor(s):

Lin, Qizhong [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Applied Mathematical Sciences ; 211 | Springer eBook CollectionPublisher: Cham : Springer International Publishing, 2022Publisher: Cham : Imprint: Springer, 2022Edition: 1st ed. 2022Description: 1 Online-Ressource(XIII, 346 p. 10 illus.)ISBN:

9783031127625

Subject(s):

Additional physical formats: 9783031127618 | 9783031127632 | 9783031127649 | Erscheint auch als: 9783031127618 Druck-Ausgabe | Erscheint auch als: 9783031127632 Druck-Ausgabe | Erscheint auch als: 9783031127649 Druck-Ausgabe | Erscheint auch als: Elementary methods of graph Ramsey theory. Druck-Ausgabe Cham, Switzerland : Springer, 2022. xiii, 346 SeitenRVK: RVK: SK 890DOI: DOI: 10.1007/978-3-031-12762-5Online resources:

Summary: Existence -- Small Ramsey Numbers -- Basic Probalistic Method -- Random Graph -- Lovász Local Lemma -- Constructive Lower Bounds -- Turán Number and Related Ramsey Number -- Communication Channels -- Dependent Random Choice -- Quasi-Random Graphs -- Regularity Lemma and van der Waerden Number -- More Ramsey Linear Functions -- Various Ramsey Problems.Summary: 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.PPN: PPN: 1816990167Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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