This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers 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 comnbinatorial 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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The book is not intended as a comprehensive treatise, and is not a textbook in the classical sense. It provides a unique and unusual introduction to graph theory by one of the founding fathers of the subject. The opening chapter tells of the first problems worked on by the author and his colleagues (collectively know as the Trintity Four). Their interests in graph theory was aroused by a problem in a mathematical puzzle book. Beginning with an account of their work on the construction of perfect squares and rectangles, the subsequent chapters describe the developement of the author's ideas: the disproof of Tait's conjecture on Hamiltonian circuits, factorizing graphs, algebra in graph theory, symmetry in graphs, graphs on spheres, and chromatic eigenvalues.
' For over sixty years, Bill Tutte has worked in Graph Theory and he can truly be called father of the subject...This fanscinating book is an account of some parts of the theory in which he took special interest, and he reveals how he was lead to many of the Theorems and proofs for which he is famous' CMS Notes
' For over sixty years, Bill Tutte has worked in Graph Theory and he can truly be called father of the subject...This fanscinating book is an account of some parts of the theory in which he took special interest, and he reveals how he was lead to many of the Theorems and proofs for which he is famous' CMS Notes
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This book is about "Graph Theory as I have known it". Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
This book is about "Graph Theory as I have known it". Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Most helpful customer reviews
Format:Hardcover
The author has spent most of his professional life pondering some of the more substantial problems in graph theory. This book is not a comprehensive treatise on the subject but an organized collection of a series of lectures that he delivered in 1984. The lectures were just as much an attempt to provide insight into the process that led to some advanced theorems as about the theorems themselves. For this reason, the book is best suited for the beginning graduate student with some experience in the field.
Some of the problems covered in the book are: the knight's tour problem as an exercise in graph theory, subgraphs and Hamiltonian circuits; algebra in graph theory, symmetry in graphs and graphs on spheres. Throughout the explanations of the problems and the solution strategies, it is impossible not to appreciate the effort that was put forward to solve them. Tutte is clearly one of the leading authorities in graph theory and good at explaining what graph theory is all about.
This is not an easy book to read, yet it is readable. It would be ideal as the material for a graduate seminar in graph theory or a text in advanced topics.
Some of the problems covered in the book are: the knight's tour problem as an exercise in graph theory, subgraphs and Hamiltonian circuits; algebra in graph theory, symmetry in graphs and graphs on spheres. Throughout the explanations of the problems and the solution strategies, it is impossible not to appreciate the effort that was put forward to solve them. Tutte is clearly one of the leading authorities in graph theory and good at explaining what graph theory is all about.
This is not an easy book to read, yet it is readable. It would be ideal as the material for a graduate seminar in graph theory or a text in advanced topics.
Format:Hardcover
It is unquestionably that W. T. Tutte is today one the greatest mathematicians in the world. I read this book with great enthusiasm because the author explains, with the work that made his fame, the most difficult part of the discovery of mathematics: The creativity involved.
The students will find in this book a great motivation to thinking in mathematics. For the experimented mathematician this book will make clear the born procces of some classic results in graph theory.
This is an excellent book, is just the story of a life of work and fun.
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
4.5 out of 5 stars
2 reviews
2 of 2 people found the following review helpful
4.0 out of 5 stars
An introduction to some advanced theorems on graphs
Jan 3 2001
By Charles Ashbacher
- Published on Amazon.com
Format:Hardcover
The author has spent most of his professional life pondering some of the more substantial problems in graph theory. This book is not a comprehensive treatise on the subject but an organized collection of a series of lectures that he delivered in 1984. The lectures were just as much an attempt to provide insight into the process that led to some advanced theorems as about the theorems themselves. For this reason, the book is best suited for the beginning graduate student with some experience in the field.
Some of the problems covered in the book are: the knight's tour problem as an exercise in graph theory, subgraphs and Hamiltonian circuits; algebra in graph theory, symmetry in graphs and graphs on spheres. Throughout the explanations of the problems and the solution strategies, it is impossible not to appreciate the effort that was put forward to solve them. Tutte is clearly one of the leading authorities in graph theory and good at explaining what graph theory is all about.
This is not an easy book to read, yet it is readable. It would be ideal as the material for a graduate seminar in graph theory or a text in advanced topics.
Some of the problems covered in the book are: the knight's tour problem as an exercise in graph theory, subgraphs and Hamiltonian circuits; algebra in graph theory, symmetry in graphs and graphs on spheres. Throughout the explanations of the problems and the solution strategies, it is impossible not to appreciate the effort that was put forward to solve them. Tutte is clearly one of the leading authorities in graph theory and good at explaining what graph theory is all about.
This is not an easy book to read, yet it is readable. It would be ideal as the material for a graduate seminar in graph theory or a text in advanced topics.
5.0 out of 5 stars
Inside the mind of a great mathematician
July 6 2000
By FELIU D SAGOLS
- Published on Amazon.com
Format:Hardcover
It is unquestionably that W. T. Tutte is today one the greatest mathematicians in the world. I read this book with great enthusiasm because the author explains, with the work that made his fame, the most difficult part of the discovery of mathematics: The creativity involved.
The students will find in this book a great motivation to thinking in mathematics. For the experimented mathematician this book will make clear the born procces of some classic results in graph theory.
This is an excellent book, is just the story of a life of work and fun.
›
Go to Amazon.com to see both reviews
4.5 out of 5 stars
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