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Given a graph G, MODUA finds communities by optimizing the modularity score locally and it terminates until a maximal modularity score is obtained.
Then the topological structure revealed by optimizing the modularity for A r is that of large groups for small values of r, and smaller groups for large values of r, all of which are strictly embedded in the original topology.
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Greedy optimization method attempts to optimize the "modularity" of a partition of the network.
Several optimization methods attempt to optimize the " modularity" of a partition of the network [30].
Louvain optimizes the modularity measure of a graph using a greedy search paradigm.
This method is based on a greedy algorithm that attempts to optimize the modularity of a partition of a given network.
Finally, we optimized the modularity in each cellular compartment individually (Additional file 1, Figure S3).
In this work, we improve the algorithm of Newman [ 18] to optimize the modularity score.
To determine communities in the graph, a fast-greedy algorithm was used to optimize the modularity of a partition of the network [ 57].
We can adopt the corresponding spectral algorithms and use the leading k eigenvectors of 2 A − B to optimize the modularity density D. To obtain the final network partition, we apply the k-means clustering method to cluster eigenvectors.
For each network, protein communities were identified by optimizing the network modularity [ 89] (Additional file 1: Supplementary Methods, Additional file 2: Figure S1, Additional file 3: Figure S2 and Additional file 4: Figure S3).
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