Cover image for Network flows : theory, algorithms, and applications
Title:
Network flows : theory, algorithms, and applications
Personal Author:
Publication Information:
Englewood Cliffs, NJ : Prentice Hall, 1993
ISBN:
9780136175490

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30000002955239 T57.85 A48 1993 Open Access Book Book
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30000004992909 T57.85 A48 1993 Open Access Book Book
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Summary

Summary

A comprehensive introduction to network flows that brings together the classic and the contemporary aspects of the field, and provides an integrative view of theory, algorithms, and applications.


presents in-depth, self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including descriptions of polynomial-time algorithms for these core models. emphasizes powerful algorithmic strategies and analysis tools such as data scaling, geometric improvement arguments, and potential function arguments. provides an easy-to-understand descriptions of several important data structures, including d-heaps, Fibonacci heaps, and dynamic trees. devotes a special chapter to conducting empirical testing of algorithms. features over 150 applications of network flows to a variety of engineering, management, and scientific domains. contains extensive reference notes and illustrations.


Table of Contents

1 Introduction
2 Paths, Trees and Cycles
3 Algorithm Design and Analysis
4 Shortest Paths: Label Setting Algorithms
5 Shortest Paths: Label Correcting Algorithms
6 Maximum Flows: Basic Ideas
7 Maximum Flows: Polynomial Algorithms
8 Maximum Flows: Additional Topics
9 Minimum Cost Flows: Basic Algorithms
10 Minimum Cost Flows: Polynomial Algorithms
11 Minimum Cost Flows: Network Simplex Algorithms
12 Assignments and Matchings
13 Minimum Spanning Trees
14 Convex Cost Flows
15 Generalized Flows
16 Lagrangian Relaxation and Network Optimization
17 Multicommodity Flows
18 Computational Testing of Algorithms
19 Additional Applications
Appendix A Data Structures
Appendix B NP-Completeness
Appendix C Linear Programming
Index