Topics in Topological Graph Theory

ISBN: 9781139106573 出版年：2009 页码：368 Lowell W Beineke Robin J Wilson Jonathan L Gross Thomas W Tucker Cambridge University Press

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 Tomaz Pisanski and Arjana Zitnik 9. Enumerating coverings Jin Ho Kwak and Jaeun Lee 10. Symmetric maps Jozef Siran 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.