Topological data for the ten real networks studied.

size of the networks (N), number of edges (E), mean degree (〈k〉), modularity (Q), relative size of the largest community (Nmodmax), fraction of edges linking distinct communities (Einter), and the overall efficiency gain of the MBA method (η, see Eq (3) for definition). For the four parameters related with community detection we display the values corresponding to the most efficient case among ten seeds of infomap (I) and ten seeds of Louvain (L). These data is presented for node and edge attacks.