Titel: Extremal Combinatorics: With Applications in Computer Science (Texts in Theoretical Computer Science. An EATCS Series)
Verlag: Springer
Erscheinungsjahr: 2011
Sprache: Englisch
ISBN-10: 3642173632
ISBN-13: 9783642173639
Einband: Hardcover
Auflage: 2. Auflage
Zustand: New

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Inhaltsangabe

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 Lov�sz 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.

�ber die Autorin bzw. den Autor

The author is a professor at the Goethe Universit�t Frankfurt and he is also a member of the Vilnius University Institute of Mathematics and Informatics. His main fields of research are theoretical computer science and discrete mathematics, in particular complexity.

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