Trivalent expanders and hyperbolic surfaces
Combinatorics
2012-02-13 v1
Abstract
We introduce a family of trivalent expanders which tessellate compact hyperbolic surfaces with large isometry groups. We compare this family with Platonic graphs and modifications of them and prove topological and spectral properties of these families.
Cite
@article{arxiv.1202.2304,
title = {Trivalent expanders and hyperbolic surfaces},
author = {Ioannis Ivrissimtzis and Norbert Peyerimhoff and Alina Vdovina},
journal= {arXiv preprint arXiv:1202.2304},
year = {2012}
}