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The Louvain clustering tries to optimize modularity in a greedy fashion by randomly moving nodes from one cluster to another in multiple levels.
The algorithm is:
- start with each node being a singleton cluster:
- consider nodes in random order
- repeat as long as cluster membership changes, consider nodes in a random order
- for each node : remove it from its current cluster and add it to the cluster with the highest modularity gain
- aggregate the resulting clustering to a new graph and continue with step 1 (as long as modularity improves).
Practically, the algorithm seems to scale well for large graphs.
- Fast unfolding of communities in large networks, Vincent D Blondel, Jean-Loup Guillaume, Renaud Lambiotte, Etienne Lefebvre, Journal of Statistical Mechanics: Theory and Experiment 2008 (10), P10008 (12pp) doi: 10.1088/1742-5468/2008/10/P10008. ArXiv: http://arxiv.org/abs/0803.0476
- "The Louvain method for community detection in large networks" Vincent Blondel http://perso.uclouvain.be/vincent.blondel/research/louvain.html