Physics – Data Analysis – Statistics and Probability
Scientific paper
2006-02-17
Proc. Natl. Acad. Sci. USA 103, 8577-8582 (2006)
Physics
Data Analysis, Statistics and Probability
7 pages, 3 figures
Scientific paper
10.1073/pnas.0601602103
Many networks of interest in the sciences, including a variety of social and biological networks, are found to divide naturally into communities or modules. The problem of detecting and characterizing this community structure has attracted considerable recent attention. One of the most sensitive detection methods is optimization of the quality function known as "modularity" over the possible divisions of a network, but direct application of this method using, for instance, simulated annealing is computationally costly. Here we show that the modularity can be reformulated in terms of the eigenvectors of a new characteristic matrix for the network, which we call the modularity matrix, and that this reformulation leads to a spectral algorithm for community detection that returns results of better quality than competing methods in noticeably shorter running times. We demonstrate the algorithm with applications to several network data sets.
No associations
LandOfFree
Modularity and community structure in networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Modularity and community structure in networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modularity and community structure in networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-471496