Classes of directed graphs.

*(English)*Zbl 1398.05002
Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-319-71839-2/hbk; 978-3-319-71840-8/ebook). xxii, 636 p. (2018).

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Outlining fundamental discoveries and new results obtained over recent years, this 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. Detailed indices ease navigation while more than 120 open problems and conjectures ensure that readers are immersed in all aspects of the field.

The book 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 also be a useful resource to researchers working in bioinformatics, chemoinformatics, sociology, physics, medicine, etc.

The articles of this volume will be reviewed individually.

Indexed articles:

Bang-Jensen, Jørgen; Gutin, Gregory, Basic terminology, notation and results, 1-34 [Zbl 1407.05101]

Bang-Jensen, Jørgen; Havet, Frédéric, Tournaments and semicomplete digraphs, 35-124 [Zbl 1407.05102]

Gutin, Gregory, Acyclic digraphs, 125-172 [Zbl 1407.05110]

Wahlström, Magnus, Euler digraphs, 173-205 [Zbl 1407.05116]

Pilipczuk, Marcin; Pilipczuk, Michał, Planar digraphs, 207-243 [Zbl 1407.05114]

Bang-Jensen, Jørgen, Locally semicomplete digraphs and generalizations, 245-296 [Zbl 1407.05100]

Yeo, Anders, Semicomplete multipartite digraphs, 297-340 [Zbl 1407.05117]

Galeana-Sánchez, Hortensia; Hernández-Cruz, César, Quasi-transitive digraphs and their extensions, 341-404 [Zbl 1407.05106]

Kreutzer, Stephan; Kwon, O-Joung, Digraphs of bounded width, 405-466 [Zbl 1407.05113]

Hammack, Richard H., Digraphs products, 467-515 [Zbl 1407.05111]

Guo, Yubao; Surmacs, Michel, Miscellaneous digraph classes, 517-574 [Zbl 1407.05109]

Huang, Jing, Lexicographic orientation algorithms, 575-607 [Zbl 1407.05112]