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Temporal fractal structures: origin of power laws in the world-wide Web

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  • Tadić, Bosiljka

Abstract

Using numerical simulations and scaling theory we study the dynamics of the world-wide Web from the growth rules recently proposed in Tadić (Physica A 293 (2001) 273) with appropriate parameters. We demonstrate that the emergence of power-law behavior of the out- and in-degree distributions in the Web involves occurrence of temporal fractal structures that are manifested in the scale-free growth of the local connectivity and in first-return time statistics. We also show how the scale-free behavior occurs in the statistics of random walks on the Web, where the walkers use information on the local graph connectivity.

Suggested Citation

  • Tadić, Bosiljka, 2002. "Temporal fractal structures: origin of power laws in the world-wide Web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 278-283.
    • Handle: RePEc:eee:phsmap:v:314:y:2002:i:1:p:278-283
    DOI: 10.1016/S0378-4371(02)01072-5
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