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A Resistance Bound via an Isoperimetric Inequality

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arxiv math/0212322 v2 pith:QPZ6W6N2 submitted 2002-12-23 math.PR math.CO

Itai Benjamini , Gady Kozma This is my paper · ORCID
classification math.PRmath.CO
keywords resistanceboundisoperimetricclusterscommuteconjecturescorollaryfinite
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An isoperimetric upper bound on the resistance is given. As a corollary we resolve two problems, regarding mean commute time on finite graphs and resistance on percolation clusters. Further conjectures are presented.

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