The planar cubic Cayley graphs
classification
🧮 math.GR
math.CO
keywords
graphscayleycubicobtainplanaraccessibleanalysisbonnington
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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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