The Cayley graphs of Coxeter and Artin groups

Title: The Cayley graphs of Coxeter and Artin groups (download pdf)

Reference: Proceedings AMS, 118, 3, pp. 693--698, 1993.

Abstract: We obtain a complete classification of the Coxeter and Artin groups whose Cayley graphs with respect to the standard presentations are planar. We also classify those whose Cayley graphs have planar embeddings in which the vertices have no accumulation points.

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