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A Tractable Complex Network Model Based on the Stochastic Mean-Field Model of Distance

  • David J. Aldous
Part I Network Structure
Part of the Lecture Notes in Physics book series (LNP, volume 650)

Abstract

Much recent research activity has been devoted to empirical study and theoretical models of complex networks (random graphs) possessing three qualitative features: power-law degree distributions, local clustering, and slowly-growing diameter. We point out a new (in this context) platform for such models – the stochastic mean-field model of distances – and within this platform study a simple two-parameter proportional attachment (or copying) model. The model is mathematically natural, permits a wide variety of explicit calculations, has the desired three qualitative features, and fits the complete range of degree scaling exponents and clustering parameters; in these respects it compares favorably with existing models.

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Authors and Affiliations

  • David J. Aldous
    • 1
  1. 1.Department of Statistics, 367 Evans Hall, University of California, Berkeley CA 94720USA

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