Minimizing Influence of Rumors by Blockers on Social Networks

In recent years, with the rapid development of Internet technology, social networks such as Facebook, Twitter and Google+ have been integrated into daily life. These social networks not only help users stay in touch with family and friends, but also keep abreast of breaking news and emerging contents. However, in some scenarios, we need to take measures to control or limit the spread of negative information such as rumors. In this paper, we first propose the Minimizing Influence of Rumor (MIR) problem, i.e., selecting a blocker set \(\mathcal {B}\) with k nodes such that the users’ total activation probability from rumor source S is minimized on the network. Then we use classical Independent Cascade (IC) model as information diffusion model. Based on this model, we prove that the objective function is monotone decreasing and non-submodular. In order to solve MIR problem effectively, we propose a two-stages method named GCSSB that includes Generating Candidate Set and Selecting Blockers stages. Finally, we evaluate proposed method by simulations on synthetic and real-life social networks. Furthermore, we also compare with other heuristic methods such as Out-Degree, Betweenness Centrality and PageRank. Experimental results show that our method is superior to comparison approaches.

[1]  Jon Kleinberg,et al.  Maximizing the spread of influence through a social network , 2003, KDD '03.

[2]  Ulrik Brandes,et al.  On variants of shortest-path betweenness centrality and their generic computation , 2008, Soc. Networks.

[3]  Michalis Faloutsos,et al.  Gelling, and melting, large graphs by edge manipulation , 2012, CIKM.

[4]  Wanlei Zhou,et al.  A Sword with Two Edges: Propagation Studies on Both Positive and Negative Information in Online Social Networks , 2015, IEEE Transactions on Computers.

[5]  Deying Li,et al.  Minimum cost seed set for competitive social influence , 2016, IEEE INFOCOM 2016 - The 35th Annual IEEE International Conference on Computer Communications.

[6]  Masahiro Kimura,et al.  Minimizing the Spread of Contamination by Blocking Links in a Network , 2008, AAAI.

[7]  Weili Wu,et al.  Least Cost Rumor Blocking in Social Networks , 2013, 2013 IEEE 33rd International Conference on Distributed Computing Systems.

[8]  Mahmoud Fouz,et al.  Why rumors spread so quickly in social networks , 2012, Commun. ACM.

[9]  Le Song,et al.  Scalable diffusion-aware optimization of network topology , 2014, KDD.

[10]  Divyakant Agrawal,et al.  Limiting the spread of misinformation in social networks , 2011, WWW.

[11]  Deying Li,et al.  Minimum cost seed set for threshold influence problem under competitive models , 2018, World Wide Web.

[12]  Chuang Ma,et al.  Identifying influential spreaders in complex networks based on gravity formula , 2015, ArXiv.

[13]  Rajeev Motwani,et al.  The PageRank Citation Ranking : Bringing Order to the Web , 1999, WWW 1999.

[14]  Matthew Richardson,et al.  Mining the network value of customers , 2001, KDD '01.

[15]  Zhoujun Li,et al.  Negative Influence Minimizing by Blocking Nodes in Social Networks , 2013, AAAI.

[16]  Bin Liu,et al.  An Efficient Randomized Algorithm for Rumor Blocking in Online Social Networks , 2020, IEEE Transactions on Network Science and Engineering.