A novel scale-free network model with accelerating growth

Complex networks are everywhere. The object-oriented software system is a typical example. Based on analyzing evolving structure of the Object-Oriented software systems, we consider accelerating growth of network as power-law growth, which can be easily generalized to real systems as better than linearly growing ones. For scale-free network with preferential linking and increasing links via a power law, we focus on exploring the generic mechanisms of scale-free behavior. We propose a scale-free model that can predict the emergence of scale-free behavior in good agreement with power-law growth and scale-free property, which excel the existing scale-free network models. Moreover, we use the obtained predictions to fit the degree distribution of software network describing scale-free structure with the accelerating growth. The combined analytical and numerical results indicate the emergence of a new set of model that considerably enhance our ability to characterize and model complex evolving networks, which can not only represent software system but also simulate other complex interactive systems, such as the World Wide Web, Internet, social networks and so on.