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The Planar Cubic Cayley Graphs.


The Planar Cubic Cayley Graphs

Agelos Georgakopoulos

American Mathematical Society


82 pages


Memoirs of the American Mathematical Society; Volume 250, Number 1190


Georgakopoulos 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, he says, comprising several infinite families. He also obtains counter-examples to the conjectures of Mohar, Bonnington, and Watkins, and makes the involved graphs accessible to computation, corroborating a conjecture of Droms. He begins by setting out the basic facts, then discusses the finite and one-ended cubic planar Cayley graphs, the planar multi-ended Cayley graphs with two generators, and the planar multi-ended Cayley graphs generated by three involutions. ([umlaut] Ringgold, Inc., Portland, OR)

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Title Annotation:Agelos Georgakopoulos
Article Type:Book review
Date:Feb 1, 2018
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