Session H9: Complex Networks and Their Applications

8:00 AM–11:00 AM, Tuesday, March 17, 2009
Room: 303

Sponsoring Unit: GSNP
Chair: Ira Schwartz, Naval Research Laboratory

Abstract ID: BAPS.2009.MAR.H9.10

Abstract: H9.00010 : Prevalence of and Epidemic Spreading on Hierarchical Networks

9:48 AM–10:00 AM

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  Jiankui He
    (Department of Physics \& Astronomy, Rice University, Houston, TX, 77005, USA)

  Michael Deem
    (Department of Physics \& Astronomy, Department of Bioengineering, Rice University, Houston, TX, 77005, USA)

Recent studies show that real networks are organized in a modular or even hierarchical fashion. However, there is no clear mathematical definition of hierarchy and current studies do not tell us the degree to which a network is hierarchical. In this talk, we will discuss a quantitative measurement of hierarchy. We find that networks of protein interactions, metabolic pathways, electronic circuits, power grids, and emails display strong hierarchy compared with networks generated at random or scale free networks of the Barab\'asi-Albert model. Further, we investigated the spread of virus in hierarchical networks. Viral spread on hierarchical networks displays quite different pattern from scale free and random networks.

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