How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2213  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.

Browse the current eBook Collections price list

Powered by MathJax
  Remote Access

The Planar Cubic Cayley Graphs


About this Title

Agelos Georgakopoulos

Publication: Memoirs of the American Mathematical Society
Publication Year: 2017; Volume 250, Number 1190
ISBNs: 978-1-4704-2644-6 (print); 978-1-4704-4204-0 (online)
DOI: https://doi.org/10.1090/memo/1190
Published electronically: September 7, 2017
Keywords:Cayley graph, planar graph, planar presentation, amalgamation

View full volume PDF

View other years and numbers:

Table of Contents


Chapters

  • Chapter 1. Introductory material and basic facts
  • Chapter 2. The finite and 1-ended cubic planar Cayley graphs
  • Chapter 3. The planar multi-ended Cayley graphs with 2 generators
  • Chapter 4. The planar multi-ended Cayley graphs generated by 3 involutions
  • Chapter 5. Outlook

Abstract


We obtain 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. We obtain counterexamples to conjectures of Mohar, Bonnington and Watkins. Our analysis makes the involved graphs accessible to computation, corroborating a conjecture of Droms.

References [Enhancements On Off] (What's this?)

American Mathematical Society