The Rise and Fall of a Networked Society

Matteo Marsili; Fernando Vega-Redondo; Frantisek Slanina

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The Rise and Fall of a Networked Society

Matteo Marsili·Fernando Vega-Redondo·Frantisek Slanina

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Abstract

We propose a simple model of the evolution of a social network which involves local search and volatility (random decay of links). The model captures the crucial role the network plays for information diffusion. This is responsible for a feedback loop which results in a first-order phase transition between a very sparse network regime and a highly-connected phase. Phase coexistence and hysteresis take place for intermediate value of parameters. We derive a mean-field theory which correctly reproduces this behavior, including the distribution of degree connectivity and the non-trivial clustering properties.

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BibTeX RIS

Matteo Marsili, Fernando Vega-Redondo, Frantisek Slanina. 2003-07-14. The Rise and Fall of a Networked Society. https://arxiv.org/abs/cond-mat/0307321

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