Advertisement

Directed and Non-directed Scale-Free Networks

  • Reuven Cohen
  • Alejandro Fabian Rozenfeld
  • Nehemia Schwartz
  • Daniel ben-Avraham
  • Shlomo Havlin
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 625)

Abstract

Scale-free networks are networks with a scale-free degree distribution, i.e., where the distribution of the number of links per node is a power-law, p(k)=ck-λ. We review results for the properties of such networks, emphasizing the structural properties of these networks. We begin with normal random scale-free networks and present their percolation properties. We also review results for directed scale-free networks and their percolation properties. Finally we present a study of the possibility of embedding scale-free networks in a lattice.

Keywords

Fractal Dimension Critical Exponent Random Graph Degree Distribution Percolation Threshold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin/Heidelberg 2003

Authors and Affiliations

  • Reuven Cohen
    • 1
  • Alejandro Fabian Rozenfeld
    • 1
  • Nehemia Schwartz
    • 1
  • Daniel ben-Avraham
    • 2
  • Shlomo Havlin
    • 1
  1. 1.Minerva Center and Dept. of PhysicsBar-Ilan UniversityRamat-GanIsrael
  2. 2.Dept. of PhysicsClarkson UniversityPotsdamUSA

Personalised recommendations