Figure 12.

Left. Pointwise median $V_m(x)$ of the reconstructed potentials of $M=100$ subsamplings of the US power grid with $N^{\prime }$ nodes and edges inherited from the original network ($N=4941$). The size $N^{\prime }$ of sampled subnetworks ranges from $N^{\prime }=740$ (top) to $N^{\prime }=3492$ (bottom). Right. Higuchi fractal dimension of the ensemble potentials on a set of $M=100$ subsamplings of the US power grid network, as a function of the average degree $⟨k⟩$, for $370\le N^{\prime }\le 4113$. The horizontal coordinates indicate the mean of $⟨k⟩$ on the ensemble of subsamplings, while the error bars denote the corresponding standard deviations.