The authors construct cyclically 5-edge-connected snarks with resistance 2 and arbitrarily large flow resistance, showing the ratio r_f(G)/r(G) can be unbounded.
Flow resistance to resistance ratios in cubic graphs.Discrete Applied Mathematics, 342:362–367
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Cyclically $5$-edge-connected snarks with resistance $2$ and flow resistance $n$
The authors construct cyclically 5-edge-connected snarks with resistance 2 and arbitrarily large flow resistance, showing the ratio r_f(G)/r(G) can be unbounded.