Mathematische Zeitschrift

, Volume 268, Issue 3, pp 871–886

Cheeger constants, growth and spectrum of locally tessellating planar graphs


    • Mathematical InstituteFriedrich-Schiller-University Jena
  • Norbert Peyerimhoff
    • Department of Mathematical SciencesUniversity of Durham

DOI: 10.1007/s00209-010-0699-0

Cite this article as:
Keller, M. & Peyerimhoff, N. Math. Z. (2011) 268: 871. doi:10.1007/s00209-010-0699-0


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.

Download to read the full article text

Copyright information

© Springer-Verlag 2010