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Realistic network growth using only local information: From random to scale-free and beyond

David M. D. Smith·Chiu Fan Lee·Neil F. Johnson
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Abstract

We introduce a simple one-parameter network growth algorithm which is able to reproduce a wide variety of realistic network structures but without having to invoke any global information about node degrees such as preferential-attachment probabilities. Scale-free networks arise at the transition point between quasi-random and quasi-ordered networks. We provide a detailed formalism which accurately describes the entire network range, including this critical point. Our formalism is built around a statistical description of the inter-node linkages, as opposed to the single-node degrees, and can be applied to any real-world network -- in particular, those where node-node degree correlations might be important.

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David M. D. Smith, Chiu Fan Lee, Neil F. Johnson. 2006-09-04. Realistic network growth using only local information: From random to scale-free and beyond. https://arxiv.org/abs/cond-mat/0608733

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