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Network Flows: Theory, Algorithms, and Applications
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.
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Network Flows: Theory, Algorithms, and Applications
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.
Table of Content
- 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.
Salient Features
- 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.
| Book | |
|---|---|
| Author | Ahuja |
| Pages | 864 |
| Year | 2014 |
| ISBN | 9789332535152 |
| Publisher | Pearson |
| Language | English |
| Uncategorized | |
| Edition | 1/e |
| Weight | 960 g |
| Dimensions | 20.3 x 25.4 x 4.7 cm |
| Binding | Paperback |