Iterative Methods in Combinatorial Optimization

With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and si...

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Bibliographic Details
Main Authors: Lau, Lap Chi, Ravi, R., Singh, Mohit
Format: eBook Book
Language:English
Published: Cambridge ; New York Cambridge University Press 18.04.2011
Edition:1
Series:Cambridge Texts in Applied Mathematics
Subjects:
ISBN:9780521189439, 1107007518, 0521189438, 9781107007512
Online Access:Get full text
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Summary:With the advent of approximation algorithms for NP-hard combinatorial optimization problems, several techniques from exact optimization such as the primal-dual method have proven their staying power and versatility. This book describes a simple and powerful method that is iterative in essence and similarly useful in a variety of settings for exact and approximate optimization. The authors highlight the commonality and uses of this method to prove a variety of classical polyhedral results on matchings, trees, matroids and flows. The presentation style is elementary enough to be accessible to anyone with exposure to basic linear algebra and graph theory, making the book suitable for introductory courses in combinatorial optimization at the upper undergraduate and beginning graduate levels. Discussions of advanced applications illustrate their potential for future application in research in approximation algorithms.
Bibliography:Includes bibliographical references (p. 233-240) and index
ISBN:9780521189439
1107007518
0521189438
9781107007512
DOI:10.1017/CBO9780511977152