The book was published by Springer in 2018.

This book gives a detailed account of the theory of directed graphs from the perspective of important classes of digraphs, with each chapter written by experts on the topic. Chapter authors include Jørgen Bang-Jensen, Gregory Gutin, Frederic Havet, Jing Huang, Stephan Kreutzer, Marcin Pilipczuk, Michal Pilipczuk, Magnus Wahlström, and Anders Yeo.

The book provides a comprehensive overview of the latest research in the field. It covers core new results on each of the classes discussed, including chapters on tournaments, planar digraphs, acyclic digraphs, Euler digraphs, graph products, directed width parameters, and algorithms. Explored are structural results as well as algorithms and complexity, including results on fixed parameter tractability. Detailed indices ease navigation while more than 120 open problems and conjectures ensure that readers are immersed in all aspects of the field.

Classes of Directed Graphs provides a valuable reference for graduate students and researchers in computer science, mathematics and operations research. As digraphs are an important modelling tool in other areas of research, this book will be a useful resource to researchers working in bioinformatics, chemoinformatics, sociology, physics and medicine, among others.