A circle packing proof of the Combinatorial Riemann Mapping Theorem
Geometric Topology
2011-04-07 v2
Abstract
The traditional Riemann Mapping Theorem can be proved with circle packing techniques. We prove the Combinatorial Riemann Mapping Theorem for tilings of bounded size using circle packings.
Cite
@article{arxiv.1103.2192,
title = {A circle packing proof of the Combinatorial Riemann Mapping Theorem},
author = {Brian Rushton},
journal= {arXiv preprint arXiv:1103.2192},
year = {2011}
}
Comments
This paper has been withdrawn, as it has come to my attention that the results were proved in essentially the same way two years earlier in http://arxiv.org/abs/math/0612605v2