Produktbild: Probability Theory and Combinatorial Optimization

Probability Theory and Combinatorial Optimization

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.01.1987

Seitenzahl

167

Maße (L/B/H)

25,3/17,7/1 cm

Gewicht

308 g

Sprache

Englisch

ISBN

978-0-89871-380-0

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.01.1987

Seitenzahl

167

Maße (L/B/H)

25,3/17,7/1 cm

Gewicht

308 g

Sprache

Englisch

ISBN

978-0-89871-380-0

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Probability Theory and Combinatorial Optimization

    • Preface

    • Chapter 1: First View of Problems and Methods. A first example: Long common subsequences

    • Subadditivity and expected values

    • Azuma’s inequality and a first application

    • A second example: The increasing-subsequence problem

    • Flipping Azuma’s inequality

    • Concentration on rates

    • Dynamic programming

    • Kingman’s subadditive ergodic theorem

    • Observations on subadditive subsequences

    • Additional notes

    • Chapter 2: Concentration of Measure and the Classical Theorems. The TSP and quick application of Azuma’s inequality

    • Easy size bounds

    • Another mean Poissonization

    • The Beardwood-Halton-Hammersly theorem

    • Karp’s partitioning algorithms

    • Introduction to space-filling curve heuristic

    • Asymptotics for the space-filling curve heuristic

    • Additional notes

    • Chapter 3: More General Methods. Subadditive Euclidean functionals

    • Examples: Good, bad and forthcoming

    • A general L-(infinity) bound

    • Simple subadditivity and geometric subadditivity

    • A concentration inequality

    • Minimal matching

    • Two-sided bounds and first consequences

    • Rooted duals and their applications

    • Lower bounds and best possibilities

    • Additional remarks

    • Chapter 4: Probability in Greedy Algorithms and Linear Programming. Assignment problem

    • Simplex method for theoreticians

    • Dyer-Frieze-McDiarmid inequality

    • Dealing with integral constraints

    • Distributional bounds

    • Back to the future

    • Additional remarks

    • Chapter 5: Distributional Techniques and the Objective Method. Motivation for a method

    • Searching for a candidate object

    • Topology for nice sets

    • Information on the infinite tree

    • Dénoument

    • Central limit theory

    • Conditioning method for independence

    • Dependency graphs and the CLT

    • Additional remarks

    • Chapter 6: Talagrand’s Isoperimetric Theory. Talagrand’s isoperimetric theory

    • Two geometric applications of the isoperimetric inequality

    • Application to the longest-increasing-subsequence problem

    • Proof of the isoperimetric problem

    • Application and comparison in the theory of hereditary sets

    • Suprema of linear functionals

    • Tail of the assignment problem

    • Further applications of Talagrand’s isoperimetric inequalities

    • Final considerations on related work

    • Bibliography

    • Index.