THE FOUR COLOR PROBLEM
CONTENTS
| PAGE | |
| 1. Introduction53 | |
| 2. Euler's Theorem57 | |
| 3. Topographic Maps58 | |
| 4. Regular Maps59 | |
| 5. The Five Color Theorem61 | |
| 6. Configurations Reducible with Four Colors62 | |
| 7. Minimum Irreducible Maps64 | |
| 8. Special Coloration Theorems65 | |
| 9. Special Classes of Colorable Maps67 | |
| 10. Methods Involving Vertices and Edges68 | |
| 11. The Problem of Tait, and Petersen's Theorem71 | |
| 12. More Dimensions76 | |
| 13. Surfaces of Higher Genus77 | |
| 14. One-sided Surfaces80 | |
| 15. Empires82 | |
| 16. The Number of Colorations83 | |
| 17. Mutually Contiguous Countries83 | |
| 18. Conclusions84 |
-51-
Questia, a part of Gale, Cengage Learning. www.questia.com
Publication information:
Book title: Galois Lectures.
Contributors: Jesse Douglas - Author, Philip Franklin - Author, Cassius Jackson Keyser - Author, Leopold Infeld - Author.
Publisher: Scripta Mathematica, Yeshiva College.
Place of publication: New York.
Publication year: 1941.
Page number: 51.
This material is protected by copyright and, with the exception of fair use, may not be further copied, distributed or transmitted in any form or by any means.
One moment ...
- Georgia
- Arial
- Times New Roman
- Verdana
- Courier/monospaced
Reset