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. 2012 Jun 6;7(6):e37994. doi: 10.1371/journal.pone.0037994

Figure 7. Asymmetry and cumulative size distribution of optimized graphs.

Figure 7

(a) Optimized networks, fluctuations in the load (sink model). Instances of optimized graphs (Inline graphic) when the load is concentrated at a single, moving, point. (b) Optimized networks, robustness to damage (bond model). Instances of optimized graphs (Inline graphic) when robustness is required under the presence of random damage. (c) Asymmetry of sink model. (d) Asymmetry of bond model. The average asymmetry Inline graphic is plotted as a function of the normalized subtree degree Inline graphic. Red line: Inline graphic. Green line: Inline graphic. Blue line: Inline graphic. Black dashed line: random links model. The colored area represents the standard error after averaging over 20 realizations of each model. (e) Adjusted cumulative size distribution, sink models. The gray line overlayed on the blue, Inline graphic line is the random links model. (f) Adjusted cumulative size distribution, bond models. The adjusted cumulative size distribution Inline graphic is plotted for Inline graphic (red, green, blue respectively) The adjusted cumulative size distribution is averaged over 20 realizations for the bond, sink and random edges model. The colored area represents the standard error after averaging over 20 realizations of each model.