Combinatorics

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

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Paperback | 29 September 1986

At a Glance

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192 Pages

Dimensions(cm)
22.86 x 15.24 x 1.12

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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.

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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Mathematical Foundation Set Theory Probability & Statistics

Frontispiece
Preface
Notation
Representing sets
Sperner systems
The Littlewood - Offord problem
Shadows
Random sets
Intersecting hypergraphs
The Turßn 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.

Combinatorics

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

At a Glance

Paperback

Shipping

How to return your order

Defective items

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