2001 ApproximationAlgorithms

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Subject Headings: Approximation Algorithm.

Notes

Cited By

2006

2003

  • S. Guha, A. Meyerson, N. Mishra, R. Motwani, and L. O'Callaghan. (2003). “Clustering data streams: Theory and practice.” In: IEEE Transactions on …,
    • A data stream is an ordered sequence of points $\big. x_1, \ldots, x_n\bigr.$ that must be accessed in order and that can be read only once or a small number of times. Each reading of the sequence is called a linear scan or a pass. The stream model is motivated by emerging applications ...
    • Cited by ~723 http://scholar.google.com/scholar?cites=13952523987732769420

Quotes

Book Overview

  • Approximation algorithms are currently a central and fast-developing area of research in theoretical computer science. This monograph covers the basic techniques used in the latest research work, techniques that everyone in the field should know, and shows that they form the beginnings of a promising theory. The author consolidates progress made so far, including some very recent results, and makes a strong effort to convey the beauty and excitement of work in the field.
    • 1 Introduction 1
    • 2 Set Cover 15
    • 3 Steiner Tree and TSP 27
    • 4 Multiway Cut and k-Cut 38
    • 5 k-Center 47
    • 6 Feedback Vertex Set 54
    • 7 Shortest Superstring 61
    • 8 Knapsack 68
    • 9 Bin Packing 74
    • 10 Minimum Makespan Scheduling 79
    • 11 Euclidean TSP 84
    • 12 Introduction to LP-Duality 93
    • 13 Set Cover via Dual Fitting 108
    • 14 Rounding Applied to Set Cover 119
    • 15 Set Cover via the Primal-Dual Schema 125
    • 16 Maximum Satisfiability 131
    • 17 Scheduling on Unrelated Parallel Machines 140
    • 18 Multicut and Integer Multicommodity Flow in Trees 146
    • 19 Multiway Cut 155
    • 20 Multicut in General Graphs 168
    • 21 Sparsest Cut 180
    • 22 Steiner Forest 198
    • 23 Steiner Network 213
    • 24 Facility Location 232
    • 25 k-Median 243
    • 26 Semidefinite Programming 256
    • 27 Shortest Vector 273
    • 28 Counting Problems 294
    • 29 Hardness of Approximation 306
    • 30 Open Problems 334
    • App. A An Overview of Complexity Theory for the Algorithm Designer 343
    • App. B Basic Facts from Probability Theory 352

References


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 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
2001 ApproximationAlgorithmsVijay V. VaziraniApproximation AlgorithmsSpringerhttp://books.google.com/books?id=EILqAmzKgYIC2001