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Iterative Methods in Combinatorial Optimization

Iterative Methods in Combinatorial Optimization ( PDF eBook - Adobe PDF ) (eBook)

By Lap Chi Lau , R Ravi , Mohit Singh 

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.

Table of Contents:

1. Introduction

2. Preliminaries

3. Matching and vertex cover in bipartite graphs

4. Spanning trees

5. Matroids

6. Arborescence and rooted connectivity

7. Submodular flows and applications

8. Network matrices

9. Matchings

10. Network design

11. Constrained optimization problems

12. Cut problems

13. Iterative relaxation: early and recent examples

14. Summary.

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Specification

Title: Iterative Methods in Combinatorial Optimization
Publisher: Cambridge University Press
Author: Lap Chi Lau , R Ravi , Mohit Singh
Edition: PDF
Edition: eBook , PDF
Language: English
ISBN: 1139066218-BEPDF
EAN: 9781139066211-BEPDF
Publish Date: 2011-4-18
Binding: eBook

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