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Deterministic scale-free networks

Author

Listed:
  • Barabási, Albert-László
  • Ravasz, Erzsébet
  • Vicsek, Tamás

Abstract

Scale-free networks are abundant in nature and society, describing such diverse systems as the world wide web, the web of human sexual contacts, or the chemical network of a cell. All models used to generate a scale-free topology are stochastic, that is they create networks in which the nodes appear to be randomly connected to each other. Here we propose a simple model that generates scale-free networks in a deterministic fashion. We solve exactly the model, showing that the tail of the degree distribution follows a power law.

Suggested Citation

  • Barabási, Albert-László & Ravasz, Erzsébet & Vicsek, Tamás, 2001. "Deterministic scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(3), pages 559-564.
    • Handle: RePEc:eee:phsmap:v:299:y:2001:i:3:p:559-564
    DOI: 10.1016/S0378-4371(01)00369-7
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