Digraphs: Theory, Algorithms and Applications - Brossura

Jensen, J. Bang; Gutin, Gregory

Brossura

ISBN 10: 1852336110 ISBN 13: 9781852336110

Casa editrice: Springer Verlag, 2002

Riassunto

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.

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Recensione

From the reviews:

"Digraphs (directed graphs) are a long-standing and important field of graph theory. Nevertheless, this is the first comprehensive monograph devoted to the subject. As a handbook, it addresses various groups of readers (students as well as researchers, and from various areas of applications). Throughout, because of their importance for applications, emphasis is on algorithms (in form of constructive proofs whenever possible). ... a valuable and indispensable reference for many years to come. Readers and users will be thankful!" (P. Schmitt, Monatshefte für Mathematik, Vol. 141 (1), 2004)

"“This is a very comprehensive volume on directed graphs and related topics... [an] impressive, well-conceived, and well-written book...it is an excellent reference...[useful] for a series of seminars, where each student would be responsible for presenting a part of the material, including proofs that are in the book and proofs that are not in the book...unlike in a large number of research monographs, the authors do an excellent job putting their topic into context. Hence the book will be useful not just for researchers focusing on digraphs, but also for everyone else for whom digraphs are tools, and not goals...

Last, but not least, an extensive list of conjectures and open questions is included in every chapter. These are typically very well presented and easy to understand. I am not taking a big risk when I predict that with the help of books like this, the area will continue to progress at a fast pace.”(Miklós Bóna, MAA Online )

Contenuti

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.- Generalisations of Digraphs.- Additional Topics.- References.- Symbol Index, Author Index, Subject Index.

Dettagli dell?edizione

• Editore: Springer Verlag
• Data di pubblicazione: 2002
• ISBN 10: 1852336110
• ISBN 13: 9781852336110
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 770