Scale-free Network Models With Parameters

Abstract

Based on typical scale-free network models, we set up the partial differential equation satisfied more general dynamic systems, and then we not only find another important topological property of scale-free networks, but also discuss the real background meaning of every function in the dynamical systems. Meanwhile we generalize the BA-network-model growth way ("star-graph-growth-way"). Starting from a more general situation, we establish a network model containing "star-graph-growth-way" and "triangle-growth-way". By analysis, this model is not only scale-free but also small-wall. Finally, distinguish the connect between the scope of the power law parameters.

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