Introduction to Graph Theory 5th Edition by Robin J. Wilson (PDF)

Description

In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson’s book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians.The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency.

User’s Reviews

Editorial Reviews: From the Back Cover Introduction to Graph Theory5th edition ‘An excellent introduction on an increasingly popular topic’G. Jones, University of Southampton ‘If this book did not exist, it would be necessary to invent it!’B. Cooper, University of Leeds ‘I have always regarded Wilson’s book as THE undergraduate textbook on graph theory, without a rival’D. Sharpe, University of Sheffield In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilson’s book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians.The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency.For this new edition the text has been revised throughout, and several sections have been reorganised and renumbered. Some new material has been added – notably on the proof of the four-colour theorem, the bracing of rectangular frameworks and algorithms – and the number of exercises has been increased and more solutions are provided. Robin Wilson is Emeritus Professor of Pure Mathematics at the Open University, and Emeritus Professor of Geometry at Gresham College, London. He is also a former Fellow in Mathematics at Keble College, Oxford University, and now teaches at Pembroke College. He has written and edited almost 40 books on graph theory, combinatorics, the history of mathematics, and music, and is very involved with the communication and popularisation of mathematics. About the Author Robin Wilson is Emeritus Professor of Pure Mathematics at the Open University, and Emeritus Professor of Geometry at Gresham College, London. He is also a former Fellow in Mathematics at Keble College, Oxford University, and now teaches at Pembroke College. He has written and edited almost 40 books on graph theory, combinatorics, the history of mathematics, and music, and is very involved with the communication and popularisation of mathematics.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Nice introduction, clear with many pictures. The price is outragious, though. I’d never pay more than, say, $40 for this title. It is ironic that in the preface the author states that “…there is a need for an inexpensive introductory text on the subject.” Really? So, unless you are a very weak student, go for other books on graph theory. Here are my recommendations: the very nice introduction ”

⭐,” by Maarten van Steen (~$20), and ”

⭐,” by G. Chartrand and P. Zhang (Dover, by ~$20). That is, by ~1/2 of the money you get *two* more modern, thorough, and solid books. The book by van Steen is nice in that it is straight to the point and has a modern flavor, treating networks as well as some algorithmic aspects of the subject.

⭐Concise book on various intro to graph theory topics. Not good for learning graph theory. It is more of a summary of each topic for those who are already deeply familiar with the topics.

⭐This book wasn’t that great – I couldn’t even bring myself to finish it actually. The book introduces terms and concepts in rapid-fire succession, often without detailed explanation, examples, or motivation.When it does motivate concepts, it often doesn’t give nearly enough detail. For example, there’s maybe a page or two explanation of the Traveling Salesman Problem that gives a decent overview of the problem and why it’s important. Unfortunately, the only example solutions were worked out manually; there’s no discussion whatsoever of algorithmic solutions to this (or even a mention of the fact that they exist), even though it’s a very important computer science application. It’s also a very important business concept because so many business and logistical problems can be represented as a variant of the Traveling Salesman Problem (e.g. “what routes should UPS package deliverers use to minimize total cost and time?”), but this fact didn’t get adequate treatment. I understand that there’s limited space in the book, but still, I would’ve liked to see a little more information on this.Overall, I was disappointed with this book. It did cover basic concepts but it didn’t cover enough detail on them to really get a good grasp on the topic unless you already have some background in the field.

⭐The book I got has its book cover very weak. It’s almost if it’s about to rip.

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