Digraphs
Theory, Algorithms and Applications
Seiten
2009
|
2nd ed. 2009
Springer London Ltd (Verlag)
978-1-84800-997-4 (ISBN)
Springer London Ltd (Verlag)
978-1-84800-997-4 (ISBN)
The new edition of this first book devoted to directed graphs has been substantially revised, reorganized and updated. With a strong focus on applications, it contains many new results and more than 650 exercises, 170 figures and 150 open problems.
Substantially revised, reorganised and updated, the second edition 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.
Substantially revised, reorganised and updated, the second edition 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.
Basic Terminology, Notation and Results.- Classes of Digraphs.- Distances.- Flows in Networks.- Connectivity of Digraphs.- Hamiltonian, Longest and Vertex-Cheapest Paths and Cycles.- Restricted Hamiltonian Paths and Cycles.- Paths and Cycles of Prescribed Lengths.- Branchings.- Linkages in Digraphs.- Orientations of Graphs and Digraphs.- Sparse Subdigraphs with Prescribed Connectivity.- Packings, Coverings and Decompositions.- Increasing Connectivity.- Feedback Sets and Vertex Orderings.- Generalizations of Digraphs: Edge-Coloured Multigraphs.- Applications of Digraphs and Edge-Coloured Graphs.- Algorithms and Their Complexity.
| Erscheint lt. Verlag | 3.2.2009 |
|---|---|
| Reihe/Serie | Springer Monographs in Mathematics |
| Zusatzinfo | XXII, 795 p. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Informatik ► Theorie / Studium ► Algorithmen |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 1-84800-997-6 / 1848009976 |
| ISBN-13 | 978-1-84800-997-4 / 9781848009974 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
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