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Item Details
Title: THE PETERSEN GRAPH
By: D. A. Holton, J. Sheehan, Dr Michael Murray
Format: Paperback

List price: £32.99
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ISBN 10: 0521435943
ISBN 13: 9780521435949
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 22 April, 1993
Series: Australian Mathematical Society Lecture Series No. 7
Pages: 364
Description: The authors examine various areas of graph theory, using the prominent role of the Petersen graph as a unifying feature.
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.
Illustrations: 46 b/w illus.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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