Fig. 8. Metadata-based communities in the Lyon School contact network.

Communities in the Lyon School contact graph, where nodes correspond to individuals and each node is assigned a label corresponding to the class it belongs to. Teachers are put in a separate class. The probability to encode a transition is p if both nodes belong to the same class and p/c otherwise. We show the results or p = 1 where c = 1 (A), c = 2 (B), and c = 1000 (C). (D to F) Class overlapping assignment ${\tilde{m}}_{\mathit{ij}}$ when c = 1 (D), c = 2 (E), and c = 1000 (F). Nodes are colored according to their community assignment, while markers indicate their metadata information.