A simple and efficient algorithm for modeling modular complex networks

In this paper we introduce a new algorithm to generate networks in which node degrees and community sizes can follow any arbitrary distribution. We compare the quality and efficiency of the proposed algorithm and the well-known algorithm by Lancichinetti et al. In contrast to the later one, the new algorithm, at the cost of accuracy, allows to generate two orders of magnitude larger networks in a reasonable time and it can be easily described analytically.