Visit our Christmas Gift Finder
Graphs, Colourings and the Four-Colour Theorem (Paperback)
  • Graphs, Colourings and the Four-Colour Theorem (Paperback)

Graphs, Colourings and the Four-Colour Theorem (Paperback)

Paperback 150 Pages / Published: 24/01/2002
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
The four-colour theorem is one of the famous problems of mathematics, that frustrated generations of mathematicians from its birth in 1852 to its solution (using substantial assistance from electronic computers) in 1976. The theorem asks whether four colours are sufficient to colour all conceivable maps, in such a way that countries with a common border are coloured with different colours. The book discusses various attempts to solve this problem, and some of the mathematics which developed out of these attempts. Much of this mathematics has developed a life of its own, and forms a fascinating part of the subject now known as graph theory. The book is designed to be self-contained, and develops all the graph-theoretical tools needed as it goes along. It includes all the elementary graph theory that should be included in an introduction to the subject, before concentrating on specific topics relevant to the four-colour problem. Part I covers basic graph theory, Euler's polyhedral formula, and the first published false `proof' of the four-colour theorem. Part II ranges widely through related topics, including map-colouring on surfaces with holes, the famous theorems of Kuratowski, Vizing, and Brooks, the conjectures of Hadwiger and Hajos, and much more besides. In Part III we return to the four-colour theorem, and study in detail the methods which finally cracked the problem.

Publisher: Oxford University Press
ISBN: 9780198510628
Number of pages: 150
Weight: 225 g
Dimensions: 233 x 156 x 9 mm

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 *

You may also be interested in...

Problems in Probability
Added to basket
Discrete Mathematics
Added to basket
A Combinatorial Introduction to Topology
Added to basket
Combinatorial Optimization
Added to basket
Proofs and Fundamentals
Added to basket
Proofs from THE BOOK
Added to basket
A Geometrical Picture Book
Added to basket
Introduction to Graph Theory
Added to basket
Principia Mathematica - Volume One
Added to basket


Please sign in to write a review

Your review has been submitted successfully.