Fig. 6.

Connectivity robustness of multiscale networks as measured by the largest cluster size S after targeted removal of N_r nodes. Cluster size is normalized by the size of the remaining network N–N_r. The networks are the same as those described in Fig. 3B with 10 samples per data point. Nodes are removed according to a top-down targeting strategy (see text) where N_r is increased until the top five levels of a possible six have been eliminated. The hierarchies depicted and dashed vertical lines correspond to complete removal of nodes down to a depth of 1, 2,..., 5. Random and random interdivisional networks are the most resilient to this form of network degradation, whereas local team networks perform poorly. Multiscale networks, however, are almost as robust as random networks. In the case of (λ, ζ) = (0.5,0.5), disintegration of the remnant components begins only after four of the six levels of the hierarchy are removed.