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Graphs, Colourings and the Four-Colour Theorem


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Table of Contents

Part I - Graphs, Maps and the four-colour theorem1: Introduction
2: Basic Graph Theory
3: Applications of Euler's formula
4: Kempe's approach
Part II - Related Topics5: Other approaches to the four-colour theorem
6: Maps on surfaces with holes
7: Kuratowski's theorem
8: Colouring non-planar graphs
PArt III - How to prove the four-colour theorem9: Overview
10: Reducibility
11: Discharging


This is a lively and readable account of one of the great problems of mathematics and its solution and can be recommended to all readers who are interested and prepared to make the effort to follow it. The Mathematical Gazette ... it will please every reader. And last but not least, it is a thin book, which will not eat much space in your library; the contents to weight ratio is well above the average. EMS

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