© 2018

Classes of Directed Graphs

  • Jørgen Bang-Jensen
  • Gregory Gutin
  • 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


Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Jørgen Bang-Jensen, Gregory Gutin
    Pages 1-34
  3. Jørgen Bang-Jensen, Frédéric Havet
    Pages 35-124
  4. Gregory Gutin
    Pages 125-172
  5. Magnus Wahlström
    Pages 173-205
  6. Marcin Pilipczuk, Michał Pilipczuk
    Pages 207-243
  7. Jørgen Bang-Jensen
    Pages 245-296
  8. Anders Yeo
    Pages 297-340
  9. Hortensia Galeana-Sánchez, César Hernández-Cruz
    Pages 341-404
  10. Stephan Kreutzer, O-joung Kwon
    Pages 405-466
  11. Richard H. Hammack
    Pages 467-515
  12. Yubao Guo, Michel Surmacs
    Pages 517-574
  13. Jing Huang
    Pages 575-607
  14. Back Matter
    Pages 609-636

About this book


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.


directed graphs directed graphs classes tournaments generalizations planar digraphs acyclic digraphs Euler digraphs directed width parameters graph products orientations of graphs graph connectivity disjoint paths graph branchings hamiltonian paths hamiltonian cycles feedback sets

Editors and affiliations

  • Jørgen Bang-Jensen
    • 1
  • Gregory Gutin
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of Southern DenmarkOdenseDenmark
  2. 2.Department of Computer ScienceRoyal Holloway, University of LondonEghamUnited Kingdom

About the editors

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.

Bibliographic information