Geometric and spectral properties of locally tessellating planar graphs

2008/05/12 by Matthias Keller, Keller, Matthias, Norbert Peyerimhoff +1 · 1 citation
Mathematics · #FOS: Mathematics #Spectral Theory (math.SP) #math.SP

paper · pdf · doi:10.48550/arxiv.0805.1683

arxiv created 2008/05/12 · arxiv updated 2009/12/01

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.

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