The Petersen graph occupies an important position in the development of several areas of modern graph theory because it often appears as a counter-example to important conjectures. In this account, the authors examine those areas, using the prominent role of the Petersen graph as a unifying feature. Topics covered include: vertex and edge colourability (including snarks), factors, flows, projective geometry, cages, hypohamiltonian graphs, and 'symmetry' properties such as distance transitivity. The final chapter contains a pot-pourri of other topics in which the Petersen graph has played its part. Undergraduate students will be able to profit from reading this book as the prerequisites are few; thus it could be used for a second course in graph theory. On the other hand, the authors have also included a number of unsolved problems as well as topics of recent study. Thus it will also be useful as a reference for graph theorists.Read more
- A combinatorics book: these are always well received and sell well
- Lots of illustrations
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- Date Published: April 1993
- format: Paperback
- isbn: 9780521435949
- length: 364 pages
- dimensions: 226 x 150 x 20 mm
- weight: 0.507kg
- contains: 46 b/w illus.
- availability: Available
Table of Contents
1. The Petersen graph
2. The four colour problem
5. Beyond the four colour theorem
7. Hypohamiltonian graphs
9. The Petersen graph in diversity
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