Topics in Topological Graph Theory
Topics in Topological Graph Theory
Robin J. Wilson, The Open University, Milton Keynes
Jonathan L. Gross, Columbia University, New York
Thomas W. Tucker, Colgate University, New York
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
- Good and timely coverage of the rapidly expanding area of topological graph theory written by world leaders in the field
- Covers the main parts of the subject: topology of surfaces and graph theory
- Extensive introductory chapter introduces background material
Product details
September 2013Adobe eBook Reader
9781139106573
0 pages
0kg
7 b/w illus. 15 tables
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Preface
- Foreword Jonathan L. Gross and Thomas W. Tucker
- Introduction Lowell W. Beineke and Robin J. Wilson
- 1. Embedding graphs on surfaces Jonathan L. Gross and Thomas W. Tucker
- 2. Maximum genus Jianer Chen and Yuanqiu Huang
- 3. Distributions of embeddings Jonathan L. Gross
- 4. Algorithms and obstructions for embeddings Bojan Mohar
- 5. Graph minors: generalizing Kuratowski's theorem R. Bruce Richter
- 6. Colouring graphs on surfaces Joan P. Hutchinson
- 7. Crossing numbers R. Bruce Richter and G. Salazar
- 8. Representing graphs and maps Tomaž Pisanski and Arjana Žitnik
- 9. Enumerating coverings Jin Ho Kwak and Jaeun Lee
- 10. Symmetric maps Jozef Širáň and Thomas W. Tucker
- 11. The genus of a group Thomas W. Tucker
- 12. Embeddings and geometries Arthur T. White
- 13. Embeddings and designs M. J. Grannell and T. S. Griggs
- 14. Infinite graphs and planar maps Mark E. Watkins
- 15. Open problems Dan Archdeacon
- Notes on contributors
- Index of definitions.
