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Identification of phases in scale-free networks

Samantha Jenkins·Steven R. Kirk
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Abstract

There is a pressing need for a description of complex systems that includes considerations of the underlying network of interactions, for a diverse range of biological, technological and other networks. In this work relationships between second-order phase transitions and the power laws associated with scale-free networks are directly quantified. A unique unbiased partitioning of complex networks (exemplified in this work by software architectures) into high- and low-connectivity regions can be made. Other applications to finance and aerogels are outlined.

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Samantha Jenkins, Steven R. Kirk. 2004-10-21. Identification of phases in scale-free networks. https://arxiv.org/abs/cond-mat/0410528

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