Abstract
In this paper, we discuss the eigenspectra of networks with community structure. It is shown that in many cases, the spectrum of eigenvalues of the adjacency matrix of a network with community structure gives a clear indication of the number of communities in the network. In particular, for a network with nodes and communities, there will typically be eigenvalues that are significantly larger than the magnitudes of all the other eigenvalues. We discuss this property as well as its use and limitations for determining .
2 More- Received 17 May 2009
DOI:https://doi.org/10.1103/PhysRevE.80.056114
©2009 American Physical Society