The planar cubic Cayley graphs
Author(s)
Bibliographic Information
The planar cubic Cayley graphs
(Memoirs of the American Mathematical Society, no. 1190)
American Mathematical Society, c2017
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Note
Includes bibliographical references (p. 81-82)
Description and Table of Contents
Description
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.
Table of Contents
Introductory material and basic facts
The finite and 1-ended cubic planar Cayley graphs
The planar multi-ended Cayley graphs with 2 generators
The planar multi-ended Cayley graphs generated by 3 involutions
Outlook
Bibliography.
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