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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Mathematical foundations

• Full title: Petersen Graph
• Author: D. A. HoltonJ. Sheehan
• Language: English
• Binding: Paperback
• Number of pages: 364
• EAN: 9780521435949
• ISBN: 0521435943
• ID: 02030815
• Publisher: Cambridge University Press
• Weight: 556 g
• Dimensions: 231 × 153 × 30 mm
• Date of publishing: 22. April 1993

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