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The probabilistic method

Author: Noga Alon; Joel H Spencer; Paul Erdős
Publisher: New York : Wiley, ©1992.
Series: Wiley-Interscience series in discrete mathematics and optimization.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Alon, Noga.
Probabilistic method.
New York : Wiley, ©1992
(OCoLC)624476081
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Noga Alon; Joel H Spencer; Paul Erdős
ISBN: 0471535885 9780471535881
OCLC Number: 23584325
Notes: "A Wiley-Interscience publication."
Description: xiii, 254 pages ; 25 cm.
Contents: The Probabilistic Method --
Graph Theory --
Combinatorics --
Combinatorial Number Theory --
Disjoint Pairs --
The Probabilistic Lens: The Erdos-Ko-Rado Theorem --
Linearity of Expectation --
Splitting Graphs --
Two Quickies --
Balancing Vectors --
Unbalancing Lights --
Without Coin Flips --
The Probabilistic Lens: Bregman's Theorem --
Alterations --
Ramsey Numbers --
Independent Sets --
Combinatorial Geometry --
Packing --
Recoloring --
Continuous Time --
The Probabilistic Lens: High Girth and High Chromatic Number --
The Second Moment --
Number Theory --
More Basics --
Random Graphs --
Clique Number --
Distinct Sums --
The Rodl Nibble --
The Probabilistic Lens: Hamiltonian Paths --
The Local Lemma --
The Lemma --
Property B and Multicolored Sets of Real Numbers --
Lower Bounds for Ramsey Numbers --
A Geometric Results --
The Linear Arboricity of Graphs --
Latin Transversals --
The Algorithmic Aspect --
The Probabilistic Lens: Directed Cycles --
Correlation Inequalities --
The Four Functions Theorem of Ahlswede and Daykin --
The FKG Inequality --
Monotone Properties --
Linear Extensions of Partially Ordered Sets --
The Probabilistic Lens: Turan's Theorem --
Martingales and Tight Concentration --
Large Deviations --
Chromatic Number --
Two General Settings --
Four Illustrations --
Talagrand's Inequality --
Applications of Talagrand's Inequality --
Kim-Vu Polynomial Concentration --
The Probabilistic Lens: Weierstrass Approximation Theorem --
The Poisson Paradigm --
The Janson Inequalities --
The Proofs.
Series Title: Wiley-Interscience series in discrete mathematics and optimization.
Responsibility: Noga Alon, Joel H. Spencer ; with an appendix on open problems by Paul Erdős.
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