| eBook ISBN: | 978-1-4704-4204-0 |
| Product Code: | MEMO/250/1190.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $45.00 |
| eBook ISBN: | 978-1-4704-4204-0 |
| Product Code: | MEMO/250/1190.E |
| List Price: | $75.00 |
| MAA Member Price: | $67.50 |
| AMS Member Price: | $45.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 250; 2017; 82 ppMSC: Primary 05; 20
The author obtains a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising several infinite families. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The author's analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.
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Table of Contents
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Chapters
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1. Introductory material and basic facts
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2. The finite and 1-ended cubic planar Cayley graphs
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3. The planar multi-ended Cayley graphs with 2 generators
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4. The planar multi-ended Cayley graphs generated by 3 involutions
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5. Outlook
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Additional Material
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The author obtains a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising several infinite families. He obtains counterexamples to conjectures of Mohar, Bonnington and Watkins. The author's analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.
-
Chapters
-
1. Introductory material and basic facts
-
2. The finite and 1-ended cubic planar Cayley graphs
-
3. The planar multi-ended Cayley graphs with 2 generators
-
4. The planar multi-ended Cayley graphs generated by 3 involutions
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5. Outlook
