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Title: The Petersen Graph by D. A. Holton, J. Sheehan ISBN: 0-521-43594-3 Publisher: Cambridge University Press Pub. Date: 22 April, 1993 Format: Paperback Volumes: 1 List Price(USD): $35.00

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Average Customer Rating: 5 (1 review)

Rating: 5
Summary: A fascinating survey of topics in graph theory
Comment: The Petersen graph is a small graph which shows up amazingly often as a counterexample in graph theory. Holton and Sheehan use it as a starting point to discuss several topics, such as the four-color problem and "snarks", cages, symmetry conditions on graphs, and hypohamiltonian graphs. Graph theory is kind of a hobby of mine, and I find this book an absorbing mishmash of introductory material. It's very accessible, and gives a real sense of a live field, full of conjectures.

The level is probably appropriate for a smart math undergrad. A little knowledge of graphs would be good, and you should know what groups are, and be able to read a proof. The presentation is often a bit sloppy (I had to rewrite some of the proofs to understand them). But still, I definitely want this in my library.