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.

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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.
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This edited volume offers a detailed account on 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.

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Presents the latest research in the subject area, including significant new results obtained over recent years Illustrates various approaches, techniques and algorithms used in digraph theory Explores structural results as well as algorithms and complexity, including results on fixed parameter tractability Collects over 120 open problems and conjectures
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783319718392
Publisert
2018-07-03
Utgiver
Vendor
Springer International Publishing AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet

Biografisk notat

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.