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Bringing together the classic and the contemporary aspects of the field, this comprehensive introduction to network flows provides an integrative view of theory, algorithms, and applications. It offers in-depth and self-contained treatments of shortest path, maximum flow, and minimum cost flow problems, including a description of new and novel polynomial-time algorithms for these core models. For professionals working with network flows, optimization, and network programming.
| Preface | ||
| 1 | Introduction | 1 |
| 2 | Paths, Trees, and Cycles | 23 |
| 3 | Algorithm Design and Analysis | 53 |
| 4 | Shortest Paths: Label-Setting Algorithms | 93 |
| 5 | Shortest Paths: Label-Correcting Algorithms | 133 |
| 6 | Maximum Flows: Basic Ideas | 166 |
| 7 | Maximum Flows: Polynomial Algorithms | 207 |
| 8 | Maximum Flows: Additional Topics | 250 |
| 9 | Minimum Cost Flows: Basic Algorithms | 294 |
| 10 | Minimum Cost Flows: Polynomial Algorithms | 357 |
| 11 | Minimum Cost Flows: Network Simplex Algorithms | 402 |
| 12 | Assignments and Matchings | 461 |
| 13 | Minimum Spanning Trees | 510 |
| 14 | Convex Cost Flows | 543 |
| 15 | Generalized Flows | 566 |
| 16 | Lagrangian Relaxation and Network Optimization | 598 |
| 17 | Multicommodity Flows | 649 |
| 18 | Computational Testing of Algorithms | 695 |
| 19 | Additional Applications | 717 |
| Appendix A: Data Structures | 765 | |
| Appendix B: [actual symbol not reproducible]-Completeness | 788 | |
| Appendix C: Linear Programming | 802 | |
| References | 821 | |
| Index | 840 |
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