The Petersen graph
著者
書誌事項
The Petersen graph
（Australian Mathematical Society lecture series, 7）
Cambridge University Press, 1993
- : pbk
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
- 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.
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