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Three of the overlapping directed modules identified by the directed Clique Percolation Method (CPMd) in the directed net of Google’s static pages at k=6 (from Palla et. al., New J. Phys. 9, 186 (2007)). These modules overlap with several further ones not shown in the figure; the size of each node is proportional to the number of its modules. The nodes and links of the three modules are coloured brown, green and blue, while their overlaps, i.e. nodes contained by more than one of these three modules, are red. The node marked with a + sign at centre is the starting page, http://www.google.com, and the names of the other nodes are their URLs without this prefix. Observe that each module contains a number of nodes with many incoming links (a ‘core’), some of which are in the overlaps. Please see the original paper for further details. For the weighted Clique Percolation Method (CPMw), see Farkas et. al., New J. Phys. 9, 180 (2007)