Information diffusion in heterogeneous networks: The configuration model approach

In technological or social networks, diffusion processes (e.g. information dissemination, rumour/virus spreading) strongly depend on the structure of the network. In this paper, we focus on epidemic processes over one such class of networks, Opportunistic Networks, where mobile nodes within range can communicate with each other directly. As the node degree distribution is a salient property for process dynamics on complex networks, we use the well known Configuration Model, that captures generic degree distributions, for modeling and analysis. We also assume that information spreading between two neighboring nodes can only occur during random contact times. Using this model, we proceed to derive closed-form approximative formulas for the information spreading delay that only require the first and second moments of the node degree distribution. Despite the simplicity of our model, simulations based on both synthetic and real traces suggest a considerable accuracy for a large range of heterogeneous contact networks arising in this context, validating its usefulness for performance prediction.

[1]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Thrasyvoulos Spyropoulos,et al.  Information diffusion in heterogeneous networks: The configuration model approach , 2013, 2013 IEEE Conference on Computer Communications Workshops (INFOCOM WKSHPS).

[3]  Y. Moreno,et al.  Epidemic outbreaks in complex heterogeneous networks , 2001, cond-mat/0107267.

[4]  Ger Koole,et al.  The message delay in mobile ad hoc networks , 2005, Perform. Evaluation.

[5]  Pan Hui,et al.  CRAWDAD dataset cambridge/haggle (v.2009-05-29) , 2009 .

[6]  Donald F. Towsley,et al.  Performance Modeling of Epidemic Routing , 2006, Networking.

[7]  Guanrong Chen,et al.  Behaviors of susceptible-infected epidemics on scale-free networks with identical infectivity. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Marco Conti,et al.  Opportunistic networking: data forwarding in disconnected mobile ad hoc networks , 2006, IEEE Communications Magazine.

[9]  Mark Newman,et al.  Networks: An Introduction , 2010 .

[10]  G. Oehlert A note on the delta method , 1992 .

[11]  M. Newman Spread of epidemic disease on networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Qinghua Li,et al.  Multicasting in delay tolerant networks: a social network perspective , 2009, MobiHoc '09.

[13]  Christos Faloutsos,et al.  Cascading Behavior in Large Blog Graphs , 2007 .

[14]  Bruce A. Reed,et al.  A Critical Point for Random Graphs with a Given Degree Sequence , 1995, Random Struct. Algorithms.

[15]  Alessandro Vespignani,et al.  Dynamical Patterns of Epidemic Outbreaks in Complex Heterogeneous Networks , 1999 .

[16]  C. Boldrini,et al.  C Consiglio Nazionale delle Ricerche Modelling inter-contact times in human social pervasive networks , 2011 .

[17]  D. Watts Networks, Dynamics, and the Small‐World Phenomenon1 , 1999, American Journal of Sociology.

[18]  Paul Erdös,et al.  On random graphs, I , 1959 .

[19]  Christos Faloutsos,et al.  Epidemic spreading in real networks: an eigenvalue viewpoint , 2003, 22nd International Symposium on Reliable Distributed Systems, 2003. Proceedings..

[20]  Jean-Yves Le Boudec,et al.  Power Law and Exponential Decay of Intercontact Times between Mobile Devices , 2007, IEEE Transactions on Mobile Computing.