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Elementary methods of graph Ramsey t...

Li, Yusheng.

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Elementary methods of graph Ramsey theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Elementary methods of graph Ramsey theory/ by Yusheng Li, Qizhong Lin.
作者:	Li, Yusheng.
其他作者:	Lin, Qizhong.
出版者:	Cham :Springer International Publishing : : 2022.,
面頁冊數:	xiii, 346 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
Subject:	Ramsey theory. -
Online resource:	https://doi.org/10.1007/978-3-031-12762-5
ISBN:	9783031127625

Elementary methods of graph Ramsey theory
Li, Yusheng.

Elementary methods of graph Ramsey theory[electronic resource] /by Yusheng Li, Qizhong Lin. - Cham :Springer International Publishing :2022. - xiii, 346 p. :ill., digital ;24 cm. - Applied mathematical sciences,v. 2112196-968X ;. - Applied mathematical sciences ;v. 211..

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.

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.

ISBN: 9783031127625

Standard No.: 10.1007/978-3-031-12762-5doiSubjects--Topical Terms:

646458
Ramsey theory.

LC Class. No.: QA166 / .L5 2022

Dewey Class. No.: 511.5

Elementary methods of graph Ramsey theory
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520 $a 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.
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