Planar graphs and covers
Group Theory
2009-05-08 v2
Abstract
Planar locally finite graphs which are almost vertex transitive are discussed. If the graph is 3-connected and has at most one end then the group of automorphisms is a planar discontinuous group and its structure is well-known. A general result is obtained for such graphs where no restriction is put on the number of ends. It is shown that such a graph can be built up from one ended or finite planar graphs in a precise way. The results give a classification of the finitely generated groups with planar Cayley graphs.
Cite
@article{arxiv.0708.0920,
title = {Planar graphs and covers},
author = {M. J. Dunwoody},
journal= {arXiv preprint arXiv:0708.0920},
year = {2009}
}
Comments
12 pages