Title:
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THE PETERSEN GRAPH
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By: |
D. A. Holton, J. Sheehan, Dr Michael Murray |
Format: |
Paperback |
List price:
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£32.99 |
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£28.87 |
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£4.12 |
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ISBN 10: |
0521435943 |
ISBN 13: |
9780521435949 |
Availability: |
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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 |