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20 January 2025
 
  » arxiv » cond-mat/0701314

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A novel model of a scale-free network with self-growing weight
Takuma Tanaka ; Toshio Aoyagi ;
Date 15 Jan 2007
Subject Disordered Systems and Neural Networks
AbstractWe present a novel type of weighted scale-free network model, in which the weight grows independently of the attachment of new nodes. The evolution of this network is thus determined not only by the preferential attachment of new nodes to existing nodes but also by self-growing weight of existing links based on a simple weight-driven rule. This model is analytically tractable, so that the various statistical properties, such as the distribution of weight, can be derived. Finally, we found that some type of social networks is well described by this model.
Source arXiv, cond-mat/0701314
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