Digraphs: Theory, Algorithms and Applications (Springer Monographs in Mathematics)

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)

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.