Effective spreading from multiple leaders identified by percolation in social networks

Social networks constitute a new platform for information propagation, but its success is crucially dependent on the choice of spreaders who initiate the spreading of information. In this paper, we remove edges in a network at random and the network segments into isolated clusters. The most important nodes in each cluster then form a group of influential spreaders, such that news propagating from them would lead to an extensive coverage and minimal redundancy. The method well utilizes the similarities between the pre-percolated state and the coverage of information propagation in each social cluster to obtain a set of distributed and coordinated spreaders. Our tests on the Facebook networks show that this method outperforms conventional methods based on centrality. The suggested way of identifying influential spreaders thus sheds light on a new paradigm of information propagation on social networks.

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

[2]  Robert E. Tarjan,et al.  Depth-First Search and Linear Graph Algorithms , 1972, SIAM J. Comput..

[3]  D. Zanette Dynamics of rumor propagation on small-world networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Lev Muchnik,et al.  Identifying influential spreaders in complex networks , 2010, 1001.5285.

[5]  Éva Tardos,et al.  Maximizing the Spread of Influence through a Social Network , 2015, Theory Comput..

[6]  L. Freeman Centrality in social networks conceptual clarification , 1978 .

[7]  Bo Hu,et al.  Efficient routing on complex networks. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

[9]  R. Pastor-Satorras,et al.  Generation of uncorrelated random scale-free networks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Nong Ye,et al.  Propagation and immunization of infection on general networks with both homogeneous and heterogeneous components. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Gert Sabidussi,et al.  The centrality index of a graph , 1966 .

[12]  D. Zanette Critical behavior of propagation on small-world networks. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Duanbing Chen,et al.  The small world yields the most effective information spreading , 2011, ArXiv.

[14]  Sergey V. Buldyrev,et al.  Critical effect of dependency groups on the function of networks , 2010, Proceedings of the National Academy of Sciences.

[15]  S. N. Dorogovtsev,et al.  Size-dependent degree distribution of a scale-free growing network. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Yicheng Zhang,et al.  Identifying influential nodes in complex networks , 2012 .

[17]  P. Kaye Infectious diseases of humans: Dynamics and control , 1993 .

[18]  Shlomo Havlin,et al.  Conditions for viral influence spreading through correlated multiplex networks , 2014, ArXiv.

[19]  Piet Van Mieghem,et al.  Epidemic processes in complex networks , 2014, ArXiv.

[20]  Alexandre Arenas,et al.  Optimal network topologies for local search with congestion , 2002, Physical review letters.

[21]  A. Sudbury The proportion of the population never hearing a rumour , 1985 .

[22]  Leonard M. Freeman,et al.  A set of measures of centrality based upon betweenness , 1977 .

[23]  Albert-László Barabási,et al.  Error and attack tolerance of complex networks , 2000, Nature.

[24]  Yamir Moreno,et al.  Dynamics of rumor spreading in complex networks. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Qi He,et al.  TwitterRank: finding topic-sensitive influential twitterers , 2010, WSDM '10.

[26]  Stanley Wasserman,et al.  Social Network Analysis: Methods and Applications , 1994, Structural analysis in the social sciences.

[27]  Massimo Marchiori,et al.  Error and attacktolerance of complex network s , 2004 .