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Ramsey Theory
Xiaodong Xu, Meilian Liang, Haipeng Luo (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Contents Some definitions and notations Ramsey theory Bi-color diagonal classical Ramsey numbers Paley graphs and lower bounds for R(k, k) Bi-color off-diagonal classical Ramsey numbers Multicolor classical Ramsey numbers Generalized Ramsey numbers Folkman numbers The Erdős–Hajnal conjecture Other Ramsey-type problems in graph theory On van der Waerden numbers and Szemeredi’s theorem More problems of Ramsey type in additive number theory Sidon–Ramsey numbers Games in Ramsey theory Local Ramsey theory Set-coloring Ramsey theory Other problems and conjectures Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
06.08.2018
Sprache
Englisch
EAN
9783110576511
Herausgeber
De Gruyter
Sonderedition
Nein
Autor
Xiaodong Xu, Meilian Liang, Haipeng Luo
Seitenanzahl
178
Auflage
1
Einbandart
Gebundene Ausgabe
Buch Untertitel
Unsolved Problems and Results
Thema-Inhalt
PBF - Algebra
Höhe
240 mm
Breite
17 cm
Hersteller: De Gruyter, Genthiner Straße 13, Berlin, Deutschland, 10785, productsafety@degruyterbrill.com, Walter de Gruyter GmbH
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