Classes of Directed Graphs -

Classes of Directed Graphs

Buch | Hardcover
XXII, 636 Seiten
2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-71839-2 (ISBN)
160,49 inkl. MwSt

This edited volume offers 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.

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.

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

Jørgen Bang-Jensen is a professor in the Department of Mathematics and Computer science at the University of Southern Denmark, Odense, Denmark. Gregory Gutin is Professor of Computer Science at Royal Holloway College, University of London, UK.

1. Basic Terminology, Notation and Results (J. Bang-Jensen, G. Gutin).- 2. Tournaments and Semicomplete Digraphs (J. Bang-Jensen, F. Havet).- 3. Acyclic Digraphs (G. Gutin).- 4. Euler Digraphs (M. Wahlström).- 5. Planar digraphs (M. Pilipczuk, M. Pilipczuk).- 6. Locally Semicomplete Digraphs and Generalizations (J. Bang-Jensen).- 7. Semicomplete Multipartite Digraphs (A. Yeo).- 8. Quasi-Transitive Digraphs and Their Extensions (H. Galeana-Sánchez, C. Hernández-Cruz).- 9. Digraphs of Bounded Width (S. Kreutzer, O. Kwon).- 10. Digraphs Products (R. Hammack).- 11. Miscellaneous Digraph Classes (Y. Guo, M. Surmacs).- 12. Lexicographic Orientation Algorithms (J. Huang).- Indices.

Erscheinungsdatum
Reihe/Serie Springer Monographs in Mathematics
Zusatzinfo XXII, 636 p. 109 illus., 4 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 1148 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
Schlagworte acyclic digraphs • Algorithm analysis and problem complexity • Directed graphs • directed graphs classes • directed width parameters • disjoint paths • Euler digraphs • feedback sets • graph branchings • graph connectivity • graph products • hamiltonian cycles • hamiltonian paths • orientations of graphs • planar digraphs • tournaments generalizations
ISBN-10 3-319-71839-8 / 3319718398
ISBN-13 978-3-319-71839-2 / 9783319718392
Zustand Neuware
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