Jorgen Bang-Jensen, Gregory Z. Gutin

Digraphs (eBook, PDF)

Theory, Algorithms and Applications

• Format: PDF

Produktbeschreibung

The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 754
• Erscheinungstermin: 29. Juni 2013
• Englisch
• ISBN-13: 9781447138860
• Artikelnr.: 44178502

Inhaltsangabe

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.

Rezensionen

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) From the reviews of the second edition: "This is a very comprehensive volume on directed graphs and related topics. ... an excellent reference. ... the book will be useful not just for researchers focusing on digraphs, but also for everyone ... . an extensive list of conjectures and open questions is included in every chapter. These are typically very well presented and easy to understand." (Miklós Bóna, MAA Online, February, 2009) "The first edition of this book was published in 2000 ... . The area has continued to develop and this reorganized and updated edition contains an additional six chapters ... . there is a strong emphasis on algorithms, and constructive proofs are given whenever possible. There are more than 650 exercises and 150 open problems and conjectures. ... the bibliography contains 934 items and the author index contains 740 names. This book would be a valuable resource for anyone interested in digraphs and their applications." (J. W. Moon, Zentralblatt MATH, Vol. 1170, 2009)