Growing network with local rules: Preferential attachment, clustering hierarchy, and degree correlations

Alexei Vázquez
Phys. Rev. E 67, 056104 – Published 7 May 2003
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Abstract

The linear preferential attachment hypothesis has been shown to be quite successful in explaining the existence of networks with power-law degree distributions. It is then quite important to determine if this mechanism is the consequence of a general principle based on local rules. In this work it is claimed that an effective linear preferential attachment is the natural outcome of growing network models based on local rules. It is also shown that the local models offer an explanation for other properties like the clustering hierarchy and degree correlations recently observed in complex networks. These conclusions are based on both analytical and numerical results for different local rules, including some models already proposed in the literature.

  • Received 23 November 2002

DOI:https://doi.org/10.1103/PhysRevE.67.056104

©2003 American Physical Society

Authors & Affiliations

Alexei Vázquez

  • Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556

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Vol. 67, Iss. 5 — May 2003

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