Fig. 1

Exemplification of the topology emerging from L² on a realization of the Planted Partition with 100 nodes and parameters p_in=0.5 and p_out=0.05. The positive edges coincide with the original structure but are reweighted. The negative ones appear between nodes that are initially at a 2-hop distance. It can be seen that a considerable amount of negative edges appear between clusters, bringing the potential to boost their detection. a Positive edges. b Negative edges