Iterative Methods in Combinatorial Optimization

Lap Chi Lau author R Ravi author Mohit Singh author

Format:Hardback

Publisher:Cambridge University Press

Published:18th Apr '11

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Iterative Methods in Combinatorial Optimization cover

A simple, powerful method that is iterative and useful in a variety of settings for exact and approximate optimization.

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.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.

ISBN: 9781107007512

Dimensions: 235mm x 159mm x 18mm

Weight: 480g

254 pages