## Combinatorial Optimization: Theory and AlgorithmsThis comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references. This fifth edition has again been updated, revised, and significantly extended, with more than 60 new exercises and new material on various topics, including Cayley's formula, blocking flows, faster |

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### Contents

1 | |

13 | |

3 Linear Programming | 50 |

4 Linear Programming Algorithms | 73 |

5 Integer Programming | 100 |

6 Spanning Trees and Arborescences | 131 |

7 Shortest Paths | 156 |

8 Network Flows | 173 |

14 Generalizations of Matroids | 354 |

15 NPCompleteness | 377 |

16 Approximation Algorithms | 413 |

17 The Knapsack Problem | 458 |

18 BinPacking | 471 |

19 Multicommodity Flows and EdgeDisjoint Paths | 489 |

20 Network Design Problems | 521 |

21 The Traveling Salesman Problem | 557 |

9 Minimum Cost Flows | 211 |

10 Maximum Matchings | 241 |

11 Weighted Matching | 272 |

12 bMatchings and TJoins | 301 |

13 Matroids | 321 |

22 Facility Location | 593 |

Notation Index | 629 |

Author Index | 633 |

644 | |