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Classes of Directed Graphs


Classes of Directed Graphs


Springer Monographs in Mathematics

von: Jørgen Bang-Jensen, Gregory Gutin

46,00 €

Verlag: Springer
Format: PDF
Veröffentl.: 18.06.2018
ISBN/EAN: 9783319718408
Sprache: englisch

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Beschreibungen

<p>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.</p> <p>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.</p> <p><i>Classes of Directed Graphs</i>&nbsp;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.</p>
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.
<div><p><b>Jørgen Bang-Jensen</b> is a professor in the Department of Mathematics and Computer science at the University of Southern Denmark, Odense, Denmark.</p> <p><b>Gregory Gutin</b> is Professor of Computer Science at Royal Holloway College, University of London, UK.</p></div><div><br></div>
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.<p>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.</p><p><i>Classes of Directed Graphs</i>&nbsp;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.</p>
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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