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arxiv: 0903.4793 · v3 · submitted 2009-03-27 · 🧮 math.MG · math.SP

Cheeger constants, growth and spectrum of locally tessellating planar graphs

classification 🧮 math.MG math.SP
keywords cheegerconstantsgraphsgrowthplanarapplicationsarticlecombinatorial
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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.

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