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math.GR2013
Counting subgraphs in hyperbolic graphs with symmetry
Danny Calegari, Koji Fujiwara
This note addresses some questions that arise in the series of works by Kyoji Saito on the growth functions of graphs. We study "hyperbolike" graphs, which include Cayley graphs of…
math.GR2013
Random groups contain surface subgroups
Danny Calegari, Alden Walker
A random group contains many quasiconvex surface subgroups.
math.GR2013★ 4 cited
Random graphs of free groups contain surface subgroups
Danny Calegari, Henry Wilton
A random graph of free groups contains a surface subgroup