03634nam a22005295i 4500978-3-319-71840-8DE-He21320180618221732.0cr nn 008mamaa180618s2018 gw : s :::: 0:eng d9783319718408978-3-319-71840-810.1007/978-3-319-71840-8doiENGDEQA166-166.247PBVbicsscMAT013000bisacsh511.523Online resource: SpringerClasses of Directed Graphs[EBook]edited by Jørgen Bang-Jensen, Gregory Gutin.Cham :Springer International Publishing :Imprint: Springer,2018.XXII, 636 p. 109 illus., 4 illus. in color.online resource.texttxtrdacontentcomputercrdamediaonline resourcecrrdacarriertext filePDFrdaSpringer Monographs in Mathematics,1439-73821. 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.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.Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)Mathematics.Algorithms.Computer scienceMathematics.Graph theory.Mathematics.Graph Theory.Discrete Mathematics in Computer Science.Algorithm Analysis and Problem Complexity.Bang-Jensen, Jørgen.editor.Gutin, Gregory.editor.SpringerLink (Online service)Springer eBooksPrinted edition:9783319718392Springer Monographs in Mathematics,1439-7382http://dx.doi.org/10.1007/978-3-319-71840-8ZDB-2-SMAMathematics and Statistics (Springer-11649)