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Vertex-Pursuit in Hierarchical Social Networks

  • A. Bonato
  • D. Mitsche
  • P. Prałat
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7287)

Abstract

Hierarchical social networks appear in a variety of contexts, such as the on-line social network Twitter, the social organization of companies, and terrorist networks. We examine a dynamic model for the disruption of information flow in hierarchical social networks by considering the vertex-pursuit game Seepage played in directed acyclic graphs (DAGs). In Seepage, agents attempt to block the movement of an intruder who moves downward from the source node to a sink. We propose a generalized stochastic model for DAGs with given expected total degree sequence. Seepage is analyzed rigorously in stochastic DAGs in both the cases of a regular and power law degree sequence.

Keywords

Random Graph Degree Distribution Directed Acyclic Graph Regular Graph Degree Sequence 
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

  • A. Bonato
    • 1
  • D. Mitsche
    • 1
  • P. Prałat
    • 1
  1. 1.Department of MathematicsRyerson UniversityTorontoCanada

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