Fig. 6.

The estimated bound (blue solid line) for topology-free fast diffusion for a power-law degree distribution ($p_d\propto d^{-2.5}$ for $5\le d\le 5,000$). [Empirical studies of scale-free networks typically find exponents between 2.1 and 4 (38).] Also shown is the threshold $\tilde{h}\left(\beta \right)$ (red dashed line).