Extremal Graph and Hypergraph Theory : With Ramsey Theory
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Studies in Advanced Mathematics
ISBN-10
1009585843
ISBN-13
9781009585842
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 18th, 2026
Print length
440 Pages
Weight
770 grams
Dimensions
23.50 x 16.20 x 3.10 cms
Product Classification:
Discrete mathematics
Ksh 12,700.00
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With moderate prerequisites, this monograph develops the necessary material to cover cutting edge research in graph, hypergraph, and Ramsey theory involving techniques from many fields. It can be used both as a teaching text and a reference for advanced undergraduates, graduate students and research mathematicians.
Providing a cohesive reference for advanced undergraduates, graduate students and even experienced researchers, this text contains both introductory and advanced material in extremal graph theory, hypergraph theory and Ramsey theory. Along the way, the book includes many modern proof techniques in the field such as the probabilistic method and algebraic methods. Several recent breakthroughs are presented with complete proofs, for example, recent results on the sunflower problem, and off-diagonal and geometric Ramsey theory. It is perhaps unique in containing material on both hypergraph regularity and containers. Featuring an extensive list of exercises, the text is suitable as a teaching text for a variety of courses in extremal combinatorics. Each of the two parts can form the basis of separate courses, and the majority of sections are designed to match the length of a single lecture.
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