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Extremal Combinatorics

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Cover of 'Extremal Combinatorics'

Table of Contents

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    Book Overview
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    Chapter 1 Prolog: What This Book Is About
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    Chapter 2 Notation
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    Chapter 3 Counting
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    Chapter 4 Advanced Counting
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    Chapter 5 The Principle of Inclusion and Exclusion
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    Chapter 6 The Pigeonhole Principle
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    Chapter 7 Systems of Distinct Representatives
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    Chapter 8 Colorings
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    Chapter 9 Sunflowers
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    Chapter 10 Intersecting Families
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    Chapter 11 Chains and Antichains
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    Chapter 12 Blocking Sets and the Duality
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    Chapter 13 Density and Universality
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    Chapter 14 Witness Sets and Isolation
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    Chapter 15 Designs
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    Chapter 16 The Basic Method
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    Chapter 17 Orthogonality and Rank Arguments
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    Chapter 18 Span Programs
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    Chapter 19 Basic Tools
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    Chapter 20 Counting Sieve
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    Chapter 21 The Lovász Sieve
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    Chapter 22 Linearity of Expectation
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    Chapter 23 The Deletion Method
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    Chapter 24 The Second Moment Method
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    Chapter 25 The Entropy Function
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    Chapter 26 Random Walks
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    Chapter 27 Randomized Algorithms
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    Chapter 28 Derandomization
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    Chapter 29 Ramsey’s Theorem
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    Chapter 30 Ramseyan Theorems for Numbers
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    Chapter 31 The Hales-Jewett Theorem
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    Chapter 32 Epilog: What Next?
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Title
Extremal Combinatorics
Published by
Springer Berlin Heidelberg, January 2001
DOI 10.1007/978-3-662-04650-0
ISBNs
978-3-64-208559-8, 978-3-66-204650-0
Authors

Stasys Jukna, Jukna, Stasys

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