Geometric and spectral properties of locally tessellating planar graphs

Details Geometric and spectral properties of locally tessellating planar graphs Geometric and spectral properties of locally tessellating planar graphs

2008-05-12

arxiv.org/abs/0805.1683v1

Mathematics

Spectral Theory

Scientific paper

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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