Regular maps of high density
Combinatorics
2015-01-15 v1
Abstract
A regular map is a surface together with an embedded graph, having properties similar to those of the surface and graph of a platonic solid. We analyze regular maps with reflection symmetry and a graph of density strictly exceeding 1/2, and we conclude that all regular maps of this type belong to a family of maps naturally defined on the Fermat curves x^n+y^n+z^n=0, excepting the one corresponding to the tetrahedron.
Keywords
Cite
@article{arxiv.1501.03377,
title = {Regular maps of high density},
author = {R. H. Eggermont and M. Hendriks},
journal= {arXiv preprint arXiv:1501.03377},
year = {2015}
}
Comments
13 pages, 4 figures