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On Certain Properties of Random Apollonian Networks

  • Alan Frieze
  • Charalampos E. Tsourakakis
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7323)

Abstract

In this work we analyze fundamental properties of Random Apollonian Networks [34,35], a popular random graph model which generates planar graphs with power law properties. Specifically, we analyze (a) the degree distribution, (b) the k largest degrees, (c) the k largest eigenvalues and (d) the diameter, where k is a constant.

Keywords

Planar Graph Degree Distribution Degree Sequence Asymptotic Growth Random Graph Model 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Alan Frieze
    • 1
  • Charalampos E. Tsourakakis
    • 1
  1. 1.Department of Mathematical SciencesCarnegie Mellon UniversityUSA

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