The planar cubic Cayley graphs

Author(s)

    • Georgakopoulos, Agelos

Bibliographic Information

The planar cubic Cayley graphs

Agelos Georgakopoulos

(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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