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World Wide Web scaling exponent from Simon's 1955 model.

S Bornholdt1, H Ebel

  • 1Institut für Theoretische Physik, Universität Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany. bornholdt@theo-physik.uni-kiel.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 3, 2001
PubMed
Summary

A 1955 model explains the World Wide Web's in-link structure, predicting a power-law scaling. This finding aligns with observed web network growth and statistical properties.

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Area of Science:

  • Network Science
  • Statistical Physics
  • Web Science

Background:

  • The World Wide Web exhibits complex statistical properties, notably self-similar scaling in its link structure.
  • The distribution of in-links to web pages follows a power-law, which is not explained by standard random graph models.

Purpose of the Study:

  • To explain the observed power-law scaling of web page in-link distributions.
  • To validate a classical model for scaling phenomena in growth processes against World Wide Web data.

Main Methods:

  • Recalling Simon's 1955 model for general copy- and growth-processes.
  • Combining the classical model with experimental measurements of World Wide Web network growth.

Main Results:

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  • The classical model successfully explains the in-link dynamics of the World Wide Web.
  • The model predicts a scaling exponent (gamma) of 2.1, matching empirical observations.

    • Conclusions:

    • Simon's 1955 model provides an elegant explanation for the power-law scaling of web in-links.
    • The study confirms the applicability of classical growth models to complex network phenomena like the World Wide Web.