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Metric Poincaré inequalities for graphs
This article obtains purely metric counterparts of cornerstone results in the theory of embedding graphs into normed spaces. Our first main result is a metric analogue of Matoušek's extrapolation relating the Poincaré constants $γ(G,\varrho^p)$ and $γ(G,\varrho^q)$ for any exponents $0 < p,q < \inft
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