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The Planar Cubic Cayley Graphs.
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 aut...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence :
American Mathematical Society,
2018.
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| Collection: | Memoirs of the American Mathematical Society.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Cover; Title page; Chapter 1. Introductory material and basic facts; 1.1. Introduction; 1.2. Definitions; 1.3. Known facts; 1.4. General facts regarding connectivity; 1.5. Graphs of connectivity 1 or 2; 1.6. Crossings of \mpsc s; Chapter 2. The finite and 1-ended cubic planar Cayley graphs; Chapter 3. The planar multi-ended Cayley graphs with 2 generators; 3.1. Graphs with monochromatic cycles; 3.2. Graphs without monochromatic cycles; Chapter 4. The planar multi-ended Cayley graphs generated by 3 involutions; 4.1. Graphs with 2-coloured cycles; 4.2. Graphs without 2-coloured cycles.
- Chapter 5. OutlookAcknowledgements; Bibliography; Back Cover.