Graph Theory As I Have Known It

Paperback | May 24, 2012

byW. T. Tutte

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Graph Theory as I Have Known It provides a unique introduction to graph theory by one of the founding fathers, and will appeal to anyone interested in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of specialinterest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggestedbooks as well as the original papers.The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as combinatorial problems in chess, the algebraicization of graph theory,reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.

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Graph Theory as I Have Known It provides a unique introduction to graph theory by one of the founding fathers, and will appeal to anyone interested in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of specialinterest to the author. Professor Tutte detail...

William Tutte (1917-2002) studied at Cambridge where his fascination for mathematical puzzles brought him into contact with like-minded undergraduates, together becoming known as the "Trinity four", the founders of modern graph theory. His notable problem-solving skills meant he was brought to Bletchley Park during World War Two. Key ...

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Format:PaperbackDimensions:164 pagesPublished:May 24, 2012Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199660557

ISBN - 13:9780199660551

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Table of Contents

1. Squaring the square2. Knights errant3. Graphs within graphs4. Unsymmetrical electricity5. Algebra in graph theory6. Symmetry in graphs7. Graphs on spheres8. The Cats of Cheshire9. Reconstruction10. Planar enumeration11. The chromatic eigenvalues12. In conclusionBibliographyIndex

Editorial Reviews

"For over sixty years, Bill Tutte has worked in Graph Theory and he can truly be called the father of the subject...This fascinating book...reveals how he was led to many of the theorems and proofs for which he is famous." --Ralph Stanton, Canadian Mathematical Society book reviews