Applied Mathematics & Information Sciences

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In this paper, a model was proposed to describe the structure and the assembly mechanism of assembly network based on six principles: (1) the network has fixed number of vertices; (2) each vertex has limited degree; (3) the network shows clustering; (4) linking take place between pairs of vertices at a rate which is high if the degree limitation of this pair is large and the distance is close and low otherwise; (5) many sub-networks are growing in the same time and connected together at last; (6) there is relatively stable structure. Using computer simulations, the model which was proposed in this paper and incorporated all of these features can reproduce many of the features of real assembly network, including high level of clustering, the feature which is partially consistent with the scale-free network, and local-world growing.

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