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arXiv · 1004.0921

On the separation profile of infinite graphs

Itai Benjamini·Oded Schramm·Adam Timar
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Abstract

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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Itai Benjamini, Oded Schramm, Adam Timar. 2011-09-13. On the separation profile of infinite graphs. https://arxiv.org/abs/1004.0921

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