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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 special interest 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
suggested books 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.
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 in the enemy codebreaking efforts, he
cracked the Lorenz cipher for which the Colossus machine was built,
making his contribution comparable to Alan Turing's codebreaking
for Enigma. Following his incredible war effort Tutte returned to
academia and became a fellow of the Royal Society in Britain and
Canada, finishing his career as Distinguished Professor Emeritus at
the University of Waterloo, Ontario.
This book is a unique introduction to graph theory, written by one of its founding fathers. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experiences in the area, and provides a fascinating insight into the processes leading to his proofs.
Designed for the nonspecialist, this classic text by a world expert is an invaluable reference tool for those interested in a basic understanding of the subject. Exercises, notes and exhaustive references follow each chapter, making it outstanding as both a text and reference for students and researchers in graph theory and its applications. The reader will delight to discover that the topics in this book are coherently unified and include some of the deepest and most beautiful developments in graph theory.
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