Isometric point-circle configurations on surfaces from uniform maps
Algebraic Geometry
2015-03-31 v1 Combinatorics
Group Theory
Abstract
We embed neighborhood geometries of graphs on surfaces as point-circle configurations. We give examples coming from regular maps on surfaces with maximum number of automorphisms for their genus and survey geometric realization of pentagonal geometries coming from Moore graphs. An infinite family of point-circle configurations on -gonal surfaces with two -gonal morphisms is given. The image of these configuration on the sphere under the two -gonal morphisms is also described.
Cite
@article{arxiv.1503.08711,
title = {Isometric point-circle configurations on surfaces from uniform maps},
author = {Milagros Izquierdo and Klara Stokes},
journal= {arXiv preprint arXiv:1503.08711},
year = {2015}
}