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Combinatorics : Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability - Bela Bollobas

Combinatorics

Set Systems, Hypergraphs, Families of Vectors, and Combinatorial Probability

By: Bela Bollobas (Editor)

Paperback Published: 29th September 1986
ISBN: 9780521337038
Number Of Pages: 192

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Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.

Frontispiece
Preface
Notation
Representing sets
Sperner systems
The Littlewood - Offord problem
Shadows
Random sets
Intersecting hypergraphs
The Tur├čn problem
Saturated hypergraphs
Well-separated systems
Helly families
Hypergraphs with a given number of disjoint edges
Intersecting families
Factorizing complete hypergraphs
Weakly saturated hypergraphs
Isoperimetric problems
The trace of a set system
Partitioning sets of vectors
The four functions theorem
Infinite ramsey theory
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521337038
ISBN-10: 0521337038
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 192
Published: 29th September 1986
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.11 x 15.8  x 1.45
Weight (kg): 0.29