Digraphs
Theory, Algorithms and Applications
Seiten
2002
|
New edition
Springer London Ltd (Verlag)
978-1-85233-611-0 (ISBN)
Springer London Ltd (Verlag)
978-1-85233-611-0 (ISBN)
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Presenting a unified and comprehensive survey of directed graphs, this text covers the theoretical aspects, including detailed proofs of many important results, and also presents a number of algorithms and applications. Over 700 exercises and 180 figures are included to explain the topic.
The study of directed graphs has developed enormously over recent decades, yet no book covers more than a tiny fraction of the results from more than 3000 research articles on the topic. Digraphs is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include among other things recent developments in the Travelling Salesman Problem, genetics and network connectivity. More than 700 exercises and 180 figures will help readers to study the topic while open problems and conjectures will inspire further research.This book will be essential reading and reference for all graduate students, researchers and professionals in mathematics, operational research, computer science and other areas who are interested in graph theory and its applications.
The study of directed graphs has developed enormously over recent decades, yet no book covers more than a tiny fraction of the results from more than 3000 research articles on the topic. Digraphs is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include among other things recent developments in the Travelling Salesman Problem, genetics and network connectivity. More than 700 exercises and 180 figures will help readers to study the topic while open problems and conjectures will inspire further research.This book will be essential reading and reference for all graduate students, researchers and professionals in mathematics, operational research, computer science and other areas who are interested in graph theory and its applications.
Basic Terminology, Notation and Results.- Distances.- Flows in Networks.- Classes of Digraphs.- Hamiltonicity and Related Problems.- Hamiltonian Refinements.- Global Connectivity.- Orientations of Graphs.- Disjoint Paths and Trees.- Cycle Structure of Digraphs.- Generalizations of Digraphs.- Additional Topics.- References.- Symbol Index, Author Index, Subject Index.
| Erscheint lt. Verlag | 14.6.2002 |
|---|---|
| Reihe/Serie | Springer Monographs in Mathematics |
| Zusatzinfo | 186 illus. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 1075 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 1-85233-611-0 / 1852336110 |
| ISBN-13 | 978-1-85233-611-0 / 9781852336110 |
| Zustand | Neuware |
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