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Holton / Sheehan

The Petersen Graph

Medium: Buch
ISBN: 978-0-521-43594-9
Verlag: Cambridge University Press
Erscheinungstermin: 28.08.2004
Lieferfrist: bis zu 10 Tage

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
Autoren/Hrsg.

Autoren

1. The Petersen graph; 2. The four colour problem; 3. Snarks; 4. Factors; 5. Beyond the four colour theorem; 6. Cages; 7. Hypohamiltonian graphs; 8. Symmetry; 9. The Petersen graph in diversity; Index.