## Digraphs: Theory, Algorithms and ApplicationsThe theory of directed graphs has developed enormously over recent decades, yet this book (first published in 2000) remains the only book to cover more than a small fraction of the results. New research in the field has made a second edition a necessity. Substantially revised, reorganised and updated, the book now comprises eighteen chapters, carefully arranged in a straightforward and logical manner, with many new results and open problems. As well as covering the theoretical aspects of the subject, with detailed proofs of many important results, the authors present a number of algorithms, and whole chapters are devoted to topics such as branchings, feedback arc and vertex sets, connectivity augmentations, sparse subdigraphs with prescribed connectivity, and also packing, covering and decompositions of digraphs. Throughout the book, there is a strong focus on applications which include quantum mechanics, bioinformatics, embedded computing, and the travelling salesman problem. Detailed indices and topic-oriented chapters ease navigation, and more than 650 exercises, 170 figures and 150 open problems are included to help immerse the reader in all aspects of the subject. Digraphs is an essential, comprehensive reference for undergraduate and graduate students, and researchers in mathematics, operations research and computer science. It will also prove invaluable to specialists in related areas, such as meteorology, physics and computational biology. |

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### Contents

1 | |

Classes of Digraphs | 31 |

Distances | 87 |

Flows in Networks | 127 |

Connectivity of Digraphs | 191 |

Hamiltonian Longest and VertexCheapest Paths and Cycles | 227 |

Restricted Hamiltonian Paths and Cycles | 275 |

Paths and Cycles of Prescribed Lengths | 307 |

Packings Coverings and Decompositions | 505 |

Increasing Connectivity | 553 |

Feedback Sets and Vertex Orderings | 583 |

EdgeColoured Multigraphs | 607 |

Applications of Digraphs and EdgeColoured Graphs | 642 |

Algorithms and Their Complexity | 695 |

721 | |

Symbol Index | 761 |

Branchings | 339 |

Linkages in Digraphs | 373 |

Orientations of Graphs and Digraphs | 417 |

Sparse Subdigraphs with Prescribed Connectivity | 479 |

Author Index | 767 |

776 | |

### Other editions - View all

Digraphs: Theory, Algorithms and Applications Jorgen Bang-Jensen,Gregory Z. Gutin Limited preview - 2013 |

Diagraphs: Theory, Algorithms and Applications Jørgen Bang-Jensen,Gregory Gutin Limited preview - 2002 |