caa a22 4500 445835559 CHVBK 20180317145329.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s00209-010-0699-0 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0699-0 Cheeger constants, growth and spectrum of locally tessellating planar graphs [Elektronische Daten] [Matthias Keller, Norbert Peyerimhoff] 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. Springer-Verlag, 2010 Keller Matthias Mathematical Institute, Friedrich-Schiller-University Jena, 07743, Jena, Germany aut Peyerimhoff Norbert Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, UK aut Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 871-886 0025-5874 268:3-4<871 2011 268 209 https://doi.org/10.1007/s00209-010-0699-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0699-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Keller Matthias Mathematical Institute, Friedrich-Schiller-University Jena, 07743, Jena, Germany aut NATIONALLICENCE 700 1- Peyerimhoff Norbert Department of Mathematical Sciences, University of Durham, DH1 3LE, Durham, UK aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 268/3-4(2011-08-01), 871-886 0025-5874 268:3-4<871 2011 268 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer