Iterative Methods in Combinatorial Optimization (Cambridge Texts in Applied Mathematics)

Iterative Methods in Combinatorial Optimization (Cambridge Texts in Applied Mathematics) by Lap Chi Lau

Title: Iterative Methods in Combinatorial Optimization (Cambridge Texts in Applied Mathematics)
Author: Lap Chi Lau
ISBN10: 1107007518
ISBN13: 978-1107007512
Publisher: Cambridge University Press; 1 edition (April 18, 2011)
Language: English
Subcategory: Mathematics
Size PDF: 1491 kb
Size Fb2: 1349 kb
Rating: 3.9/5
Votes: 441
Pages: 254 pages
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Iterative Methods in Combinatorial Optimization (Cambridge Texts in Applied Mathematics) by Lap Chi Lau


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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.