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. 2016 Jan 12;6:18847. doi: 10.1038/srep18847

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(a) Inverse participation ratio as a function of the network size for the adjacency matrix of synthetic networks with different degree exponent γ. For large γ, the IPR tends to saturate to a constant value for sufficiently large value of N. For γ < 5/2, on the other hand, the behavior of the IPR can be fitted to , with α < 1/2. The dashed line represents a power-law behavior ~N⁻¹, corresponding to a delocalized IPR. (b) Inverse participation ratio as a function of the degree exponent γ for different network sizes N. The plot confirms the presence of transition in the behavior of the IPR, located in the vicinity of γ = 5/2.

Inline graphic — (a) Inverse participation ratio as a function of the network size for the adjacency matrix of synthetic networks with different degree exponent γ. For large γ, the IPR tends to saturate to a constant value for sufficiently large value of N. For γ < 5/2, on the other hand, the behavior of the IPR can be fitted to , with α < 1/2. The dashed line represents a power-law behavior ~N⁻¹, corresponding to a delocalized IPR. (b) Inverse participation ratio as a function of the degree exponent γ for different network sizes N. The plot confirms the presence of transition in the behavior of the IPR, located in the vicinity of γ = 5/2.