Introduction to Graph Theory

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.

ISBN 027372889X   Pages 192 ISBN13 9780273728894 (What's this?)   Weight (grammes) 298 Publisher Pearson Education Limited   Published in Harlow Imprint Prentice-Hall   Previous ISBN 9780582249936 Format Paperback   Height (mm) 234 Publication date 20 May 2010   Width (mm) 156 DEWEY 511.5   Academic level Tertiary education DEWEY edition DC22

Introduction * Definitions and examples* Paths and cycles* Trees* Planarity* Colouring graphs* Matching, marriage and Menger's theorem* Matroids Appendix 1: Algorithms Appendix 2: Table of numbers List of symbols Bibliography Solutions to selected exercises Index

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