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On the separation profile of infinite graphs

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arxiv 1004.0921 v3 pith:TDZNDFH6 submitted 2010-04-06 math.MG math.GR

Itai Benjamini , Oded Schramm , Adam Timar This is my paper · ORCID
classification math.MGmath.GR
keywords graphsinfiniteseparationcayleyconnectionsexpansionexploredflavor
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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 square root separation result for planar graphs. Connections to relaxed versions of quasi-isometries are explored, such as regular and semiregular maps.

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