On the separation profile of infinite graphs
Itaï Benjamini, Oded Schramm, Ádám Timár · Groups Geometry and Dynamics · 2012
Initial steps in the study of inner expansion properties of infinite Cayley graphs and other infinite graphs, such as hyperbolic ones, are taken, in a flavor similar to the well-known Lipton–Tarjan \sqrt{n} separation result for planar graphs. Connections to relaxed versions of quasi-isometries are explored, such as regular and semiregular maps.