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
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- 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
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email email@example.comRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×