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      Emergence of scaling in random networks

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          Abstract

          Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This feature is found to be a consequence of the two generic mechanisms that networks expand continuously by the addition of new vertices, and new vertices attach preferentially to already well connected sites. A model based on these two ingredients reproduces the observed stationary scale-free distributions, indicating that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.

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          Journal
          10.1126/science.286.5439.509
          cond-mat/9910332

          Condensed matter,Theoretical physics,Nonlinear & Complex systems
          Condensed matter, Theoretical physics, Nonlinear & Complex systems

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