Geometric and spectral properties of locally tessellating planar graphs

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

paper · doi:10.48550/arxiv.0805.1683

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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