Introduction to Graph Theory (häftad)
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Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
192
Utgivningsdatum
2010-05-20
Upplaga
5
Förlag
Prentice Hall
Illustratör/Fotograf
Illustrations
Illustrationer
Illustrations
Dimensioner
234 x 158 x 12 mm
Vikt
299 g
Antal komponenter
1
ISBN
9780273728894
Introduction to Graph Theory (häftad)

Introduction to Graph Theory

Häftad Engelska, 2010-05-20
399
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Introduction to Graph Theory

5th 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 Wilsons 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.
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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.

Innehållsförteckning

Introduction

  1. Definitions and examples
  2. Paths and cycles
  3. Trees
  4. Planarity
  5. Colouring graphs
  6. Matching, marriage and Menger's theorem
  7. Matroids

Appendix 1: Algorithms

Appendix 2: Table of numbers

List of symbols

Bibliography

Solutions to selected exercises

Index