Cheeger constants, growth and spectrum of locally tessellating planar graphs
Metric Geometry
2009-07-30 v3 Spectral Theory
Abstract
In this article, we study relations between the local geometry of planar graphs (combinatorial curvature) and em global geometric invariants, namely the Cheeger constants and the exponential growth. We also discuss spectral applications.
Keywords
Cite
@article{arxiv.0903.4793,
title = {Cheeger constants, growth and spectrum of locally tessellating planar graphs},
author = {Matthias Keller and Norbert Peyerimhoff},
journal= {arXiv preprint arXiv:0903.4793},
year = {2009}
}
Comments
19 pages, 2 figures