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612-822-4611
Extremal Combinatorics: With Applications in Computer Science

Extremal Combinatorics: With Applications in Computer Science

Hardcover

Series: Texts in Theoretical Computer Science. an Eatcs

General ComputersGeneral Mathematics

ISBN10: 3642173632
ISBN13: 9783642173639
Publisher: Springer Nature
Published: Sep 2 2011
Pages: 412
Weight: 1.73
Height: 0.94 Width: 6.14 Depth: 9.21
Language: English

Preface.- Prolog: What this Book Is About.- Notation.- Counting.- Advanced Counting.- Probabilistic Counting.- The Pigeonhole Principle.- Systems of Distinct Representatives.- Sunflowers.- Intersecting Families.- Chains and Antichains.- Blocking Sets and the Duality.- Density and Universality.- Witness Sets and Isolation.- Designs.- The Basic Method.- Orthogonality and Rank Arguments.- Eigenvalues and Graph Expansion.- The Polynomial Method.- Combinatorics of Codes.- Linearity of Expectation.- The Lovász Sieve.- The Deletion Method.- The Second Moment Method.- The Entropy Function.- Random Walks.- Derandomization.- Ramseyan Theorems for Numbers.- The Hales-Jewett Theorem.- Applications in Communications Complexity.- References.- Index.

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General Mathematics