The planar cubic Cayley graphs
نویسنده
چکیده
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. This thesis contains the material published in the papers [13, 14] and part of the material of [15].
منابع مشابه
The planar cubic Cayley graphs of connectivity 2
We classify the planar cubic Cayley graphs of connectivity 2, providing an explicit presentation and embedding for each of them. Combined with [9] this yields a complete description of all planar cubic Cayley graphs.
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تاریخ انتشار 2010