Title: Connectivity and planarity of Cayley graphs, (download pdf) (abstract)

Authors: Carl Droms, Brigitte Servatius and HermanServatius

Reference: Beitrage zur Algebra und Geometrie Vol. 39, No. 2, pp. 269-282, (1998)

Selected Figures:
A finite planar Cayley Graph
Another finite planar Cayley Graph

Abstract: We show how all groups with planar Cayley graphs may be constructed as a graph of groups whose vertex groups are all discrete groups of isometeriesof the sphere, Euclidean plane or hyperbolic plane, and edge groups oforder at most 2.

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