A new community-based evolving network model

In order to describe the community structure upon the dynamical evolution of complex networks, we propose a new community based evolving network (CBEN) model having increasing communities with preferential mechanisms of both community sizes and node degrees, whose cumulative distribution and raw distribution follow scale-invariant power-law distributions P(S >= s)similar to s(-v) and P(k)similar to k(-gamma) with exponents of v >= 1 and gamma epsilon[2 + infinity), respectively. Besides, complex networks generated by the CBEN model are hierarchically structured, which cover the range from disassortative networks to assortative networks. (C) 2007 Elsevier B.V. All rights reserved.