Australian Mathematical Society Lecture Series: The Petersen Graph Series Number 7 (Paperback)D. A. Holton (author), J. Sheehan (author), Dr Michael Murray (series editor), Philip Broadbridge (series editor), Chris Heyde (series editor), Charles Pearce (series editor), Cheryl Praeger (series editor)
Paperback 364 Pages / Published: 22/04/1993
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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.
Publisher: Cambridge University Press
Number of pages: 364
Weight: 530 g
Dimensions: 229 x 152 x 21 mm
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