Figure 6

We illustrate the use of the BiDir distance to compare the modular structure of three nested SBMs. (A)–(C): We visualize a single network realisation for each SBM. Network A and B share a similar coarse-level community structure with 3 equally sized communities, while A and C share a similar granular-level community structure with 12 equally sized communities. In (D) and (E): We show the number of communities and the mean variation of information obtained using the Markov stability algorithm for each of the SBMs for a range of resolutions. For each network, we highlight three robust partitions corresponding to distinct scales. (F): We show the BiDir distances obtained when comparing these partitions. (G) and (H): We illustrate the BiDir distances obtained when comparing networks A and B and networks A and C across the full range of resolutions. In general, we observe that network A and B’s modular structure is most similar (e.g., the distance is smallest) at a coarse scale with few large communities, while networks A and C are most similar at a dis-aggregate or finer scale