In this paper, we study the problem of testing the conductance of a
given graph in the general graph model. Given distance parameter
\varepsilon and any constant \sigma>0, there exists a tester
whose running time is \mathcal{O}(\frac{m^{(1+\sigma)/2}\cdot\log n\cdot\log\frac{1}{\varepsilon}}{\varepsilon\cdot\Phi^2}), where
n is the number of vertices and m is the number ...
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