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)


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.


Random Graph Degree Distribution Directed Acyclic Graph Regular Graph Degree Sequence 
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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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