Geometric and spectral properties of locally tessellating planar graphs
Spectral Theory
2008-05-13 v1
Abstract
In this article, we derive bounds for values of the global geometry of locally tessellating planar graphs, namely, the Cheeger constant and exponential growth, in terms of combinatorial curvatures. We also discuss spectral implications for the Laplacians.
Keywords
Cite
@article{arxiv.0805.1683,
title = {Geometric and spectral properties of locally tessellating planar graphs},
author = {Matthias Keller and Norbert Peyerimhoff},
journal= {arXiv preprint arXiv:0805.1683},
year = {2008}
}