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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 )
- Item Weight : 2.47 pounds
- Paperback : 776 pages
- ISBN-10 : 1852336110
- ISBN-13 : 978-1852336110
- Product Dimensions : 6.14 x 1.53 x 9.21 inches
- Publisher : Springer (August 5, 2002)
- Language: : English
- Best Sellers Rank: #10,108,810 in Books (See Top 100 in Books)
- Customer Reviews:
Top reviews from the United States
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The text strives to accomplish the following objectives:
1. To give a great deal of information on both results and proof techniques for specialists in graph theory. No other book covers even 10\% of material provided in Digraphs, and thus before this monograph has been published even specialists in graph theory very often needed to search for a specific result or proof technique through the ocean of literature on digraphs. Now the situation has drastically improved.
2. To introduce researchers and practitioners from various other fields in mathematics, computer science, operations research, biology, etc. to basic and more advanced results in digraph theory and algorithms and some carefully selected applications. It offers much more than merely a pure bibliography and provides the ideal starting point for any researcher who needs to become familiar either with theory oriented aspects of this interesting area or with some application in a relatively short time.
3. To provide enough material for intermediate and final year BSc or MSc courses for students in mathematics, computer science and operations research. The large number of exercises (more than 700) of various difficulty is of great help to instructors and lecturers. The applications provided in the book will help to provide enough motivation for the students to study digraph theory and algorithms.
4. To provide a large variety of topics for final year student projects in mathematics, computer science, operations research and other fields. The monograph can be used as a source for the projects because because several areas of digraph theory are covered there in real depth and they vary from relatively simple to reasonably complicated ones.
To summarize, I'd like to notice that the monograph is aimed to a wide range of readers including specialists in mathematics, operations research, computer science, biology, etc. as well as students of second year and higher.
Boris Goldengorin, Department of Econometrics and Operations Research, University of Groningen, The Netherlands