A continuum of expanders
Tom 238 / 2017
Fundamenta Mathematicae 238 (2017), 143-152
MSC: Primary 20F65; Secondary 05C25.
DOI: 10.4064/fm101-11-2016
Opublikowany online: 1 March 2017
Streszczenie
A regular equivalence between two graphs is a pair of uniformly proper Lipschitz maps V\varGamma \to V\varGamma ’ and V\varGamma ’\to V\varGamma . Using separation profiles we prove that there are 2^{\aleph _0} regular equivalence classes of expander graphs, and of finitely generated groups with a representative which isometrically contains expanders.
