Structural properties of the scale-free Barabasi-Albert graph

  • Authors:
  • V. N. Zadorozhnyi;E. B. Yudin

  • Affiliations:
  • Omsk State University, Omsk, Russia;Omsk State University, Omsk, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2012

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Abstract

Consideration was given to the scale-free Barabasi-Albert graph describing large network structures of the Internet type. A fundamental graph matrix describing precisely the properties of the randomly selected edges was introduced and examined. The formula of the clustering coefficient was derived, and a method for its separable adjustment was proposed which does not affect the distribution of the local connectivity of vertices.