The Petersen graph:
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....
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| Main Author: | |
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| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1993
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| Series: | Australian Mathematical Society lecture series
7 |
| Links: | https://doi.org/10.1017/CBO9780511662058 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (353 Seiten) |
| ISBN: | 9780511662058 |
Staff View
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| spelling | Holton, Derek Allan 1941- The Petersen graph D.A. Holton, J. Sheehan Cambridge Cambridge University Press 1993 1 Online-Ressource (353 Seiten) txt c cr Australian Mathematical Society lecture series 7 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. Sheehan, J. Erscheint auch als Druck-Ausgabe 9780521435949 |
| spellingShingle | Holton, Derek Allan 1941- The Petersen graph |
| title | The Petersen graph |
| title_auth | The Petersen graph |
| title_exact_search | The Petersen graph |
| title_full | The Petersen graph D.A. Holton, J. Sheehan |
| title_fullStr | The Petersen graph D.A. Holton, J. Sheehan |
| title_full_unstemmed | The Petersen graph D.A. Holton, J. Sheehan |
| title_short | The Petersen graph |
| title_sort | petersen graph |
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