Schematic illustration of sparse-strong and dense-weak styles of weighted community networks.

<p>The large circles denote the communities of the network, and the small circles denote the nodes. The lines denote the edges of the network, and its width represents the weight of the edges (i.e., the transmission rate between two nodes). The network parameters are: <i>N</i> = 3 (number of communities), <i>M</i> = 10 (number of nodes in each community), <i>d_I</i> = 3 (average internal degree), <i>d_E</i> = 0.2 or 1 (average external degree), <i>v</i> = 0.5 (weight of internal edges) and <i>w</i> = 0.10 or 0.47 (weight of external edges). The modularity <i>Q</i> = 0.61 for both styles.