Approximation Algorithms and Semidefinite Programming

Language: English

Published by Springer, Springer Vieweg Jan 2012, 2012

3642220142 / 9783642220142

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This item is printed on demand - Print on Demand Titel. Neuware -Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material.There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms.This book follows the ¿semidefinite side¿ of these developments, presenting some of the main ideas behind approximation algorithms based on semidefinite programming. It develops the basic theory of semidefinite programming, presents one of the known efficient algorithms in detail, and describes the principles of some others. It also includes applications, focusing on approximation algorithms.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 264 pp. Englisch.

Seller Inventory # 9783642220142

Title
Approximation Algorithms and Semidefinite Programming
Author
Bernd Gärtner
Publisher
Springer, Springer Vieweg Jan 2012
Publication year
2012
Condition
Neu
Binding
Buch
Language
English
ISBN 10
3642220142
ISBN 13
9783642220142
Item weight
565 grams
Dimensions
241x160x20 mm

buchversandmimpf2000

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