Cheeger constants, growth and spectrum of locally tessellating planar graphs
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- Keller, M. & Peyerimhoff, N. Math. Z. (2011) 268: 871. doi:10.1007/s00209-010-0699-0
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In this article, we study relations between the local geometry of planar graphs (combinatorial curvature) and global geometric invariants, namely the Cheeger constants and the exponential growth. We also discuss spectral applications.