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  3. Iterative Methods in Combinatorial Optimization
  • Cited by 82
Publisher:
Cambridge University Press
Online publication date:
June 2012
Print publication year:
2011
Online ISBN:
9780511977152
DOI:
https://doi.org/10.1017/CBO9780511977152
Subjects:
Algorithmics, Complexity, Computer Algebra, Computational Geometry, Differential and Integral Equations, Dynamical Systems and Control Theory, Mathematical Physics, Computer Science, Optimization, OR and risk, Statistics and Probability
Series:
Cambridge Texts in Applied Mathematics (46)
Information

Book description

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.

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