Expanders are not hyperbolic

Authors
Benjamini, I
Citation
I. Benjamini, Expanders are not hyperbolic, ISR J MATH, 108, 1998, pp. 33-36
Citations number
4
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
108
Year of publication
1998
Pages
33 - 36
Database
ISI
SICI code
0021-2172(1998)108:<33:EANH>2.0.ZU;2-2
Abstract
We bound from above the number of vertices of a graph in terms of the Cheeg er constant and the delta-hyperbolicity of the graph. As a corollary we get that expanders are not uniformly hyperbolic.