Scale-free networks with self-growing weight

Takuma Tanaka; Toshio Aoyagi

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arXiv · cond-mat/0701314

Scale-free networks with self-growing weight

Takuma Tanaka·Toshio Aoyagi

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Abstract

We 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.

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BibTeX RIS

Takuma Tanaka, Toshio Aoyagi. 2007-07-24. Scale-free networks with self-growing weight. https://arxiv.org/abs/cond-mat/0701314

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