The planar cubic Cayley graphs

Details The planar cubic Cayley graphs The planar cubic Cayley graphs

2011-02-10

arxiv.org/abs/1102.2087v2

Mathematics

Group Theory

Scientific paper

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.

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