Galois Lectures

By Jesse Douglas; Philip Franklin et al. | Go to book overview
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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-

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