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.
Produkteigenschaften
- Artikelnummer: 9780521435949
- Medium: Buch
- ISBN: 978-0-521-43594-9
- Verlag: Cambridge University Press
- Erscheinungstermin: 28.08.2004
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2004
- Serie: Australian Mathematical Society Lecture Series
- Produktform: Kartoniert, Paperback
- Gewicht: 591 g
- Seiten: 363
- Format (B x H x T): 152 x 229 x 21 mm
- Ausgabetyp: Kein, Unbekannt
