Figure 2.

(a) Rescaled scatter plot of f_i[N〈q²〉]^1/2 as a function of q_i for a synthetic network with γ = 2.1 and size N = 10⁶. Data fits the expectation for the PEV in the annealed network approximation, Eq. (7), with only small fluctuations. (b, main) Scatter plot of the squared PEV components as a function of the K-core index for the adjacency matrix of a power-law synthetic network with γ = 2.1 and size N = 10⁶. (b, inset) Scatter plot of the squared PEV components as a function of the degree q_i in a synthetic network with γ = 3.5 and size N = 10⁶.