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Graphs, Colourings and the Four-Colour Theorem
 

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

By Wilson, Robert a.

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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 col...our 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.
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ISBN 9780198510628
Released NZ 1 Apr 2002
Publisher Oxford University Press (S3)
Format Paperback
Alternate Format(s) View All (1 other possible title(s) available)
Availability
Indent title (internationally sourced), allow 8-12 weeks

Full details for this title

ISBN-13 9780198510628
Stock Available
Status Indent title (internationally sourced), allow 8-12 weeks
Publisher Oxford University Press (S3)
Imprint Oxford University Press
Released 1 Apr 2002
Publication Country United Kingdom United Kingdom
Format Paperback
 › 1 other possible formats available
Author(s) By Wilson, Robert a.
Category Combinatorics & Graph Theory
Number of Pages 150
Dimensions Width: 156mm
Height: 233mm
Spine: 9mm
Dewey Code 511.5
Weight 225g
Interest Age 19+ years
Reading Age 19+ years
Library of Congress Four-color problem
NBS Text Mathematics
ONIX Text College/higher education;Professional and scholarly

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