A weighted local-world evolving network model with aging nodes

In this paper, the dynamical behaviors of a class of weighted local-world evolving networks with aging nodes are investigated. As the network grows, each newly added node is connected to some existing nodes through strength-age preferential attachment. Each time step, the newly added node with randomly determined initial degree is connected to some existing nodes through a local strength-age preferential attachment. By using tools from stochastic analysis and continuous approximation, it is theoretically proved that the strength distribution of the generated network has a power-law form with exponent depending nontrivially on a decay factor alpha is an element of [0, 1). In addition, the clustering coefficient, correlation and small-world properties of this class of networks are examined via simulations. It is shown that clustering coefficient is a monotone decreasing function of the decay factor, and the assortative degree correlation and small-world properties appear simultaneously. Finally, the new model is used to characterize the Internet topology as a typical application. (C) 2011 Elsevier B.V. All rights reserved.