A Resistance Bound via an Isoperimetric Inequality

Details A Resistance Bound via an Isoperimetric Inequality A Resistance Bound via an Isoperimetric Inequality

2002-12-23

arxiv.org/abs/math/0212322v1

Mathematics

Probability

Scientific paper

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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