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 ...
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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 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.
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Add this copy of Graphs, Colourings and the Four-Colour Theorem to cart. $60.00, very good condition, Sold by bookbooth rated 4.0 out of 5 stars, ships from Berea, OH, UNITED STATES, published 2002 by Oxford University Press.
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Very Good. 6.25 x 9.5. Minor cover wear and soil, corners lightly bumped, remainder mark, interior tight and clean, viii + 141 pp including index, discusses the attempts to solve the problem of whether four colors are sufficient to color all conceivable maps in such a way that countries with a common border are colored with different colors, starting with basic graph theory and advancing to its application to the problem, bw graphs and illustrations.
Add this copy of Graphs, Colourings and the Four-Colour Theorem to cart. $108.39, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2002 by Oxford University Press.
Add this copy of Graphs, Colourings and the Four-Colour Theorem to cart. $141.69, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2002 by OUP Oxford.
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