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Topics in Chromatic Graph Theory
About this book
Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.
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Information
Table of contents
- Cover
- Halt-title
- Series information
- Frontispiece
- Title page
- Copyright information
- Table of contents
- Foreword
- Preface
- Preliminaries
- 1 Colouring graphs on surfaces
- 2 Brooks’s theorem
- 3 Chromatic polynomials
- 4 Hadwiger’s conjecture
- 5 Edge-colourings
- 6 List-colourings
- 7 Perfect graphs
- 8 Geometric graphs
- 9 Integer flows and orientations
- 10 Colouring random graphs
- 11 Hypergraph colouring
- 12 Chromatic scheduling
- 13 Graph colouring algorithms
- 14 Colouring games
- 15 Unsolved graph colouring problems
- Notes on contributors
- Index