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Minimum budget for misinformation blocking in online social networks

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Abstract

Preventing misinformation spreading has recently become a critical topic due to an explosive growth of online social networks. Instead of focusing on blocking misinformation with a given budget as usually studied in the literatures, we aim to find the smallest set of nodes (minimize the budget) whose removal from a social network reduces the influence of misinformation (influence reduction) greater than a given threshold, called the Targeted Misinformation Blocking problem. We show that this problem is #P-hard under Linear Threshold and NP-hard under Independent Cascade diffusion models. We then propose several efficient algorithms, including approximation and heuristic algorithms to solve the problem. Experiments on real-world network topologies show the effectiveness and scalability of our algorithms that outperform other state-of-the-art methods.

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  1. https://snap.stanford.edu/data/index.html.

  2. http://www.arXiv.org.

  3. Instructions for use https://networkx.github.io/.

References

  • Allcott H, Gentzkow M (2016) Social media and fake news in the 2016 election. Stanford Web https://web.stanford.edu/~gentzkow/research/fakenews.pdf. Accessed 21 July 2019

  • Asahiro Y, Hassin R, Iwama K (2002) Complexity of finding dense subgraphs. Discrete Appl Math 121(1–3):15–26. https://doi.org/10.1016/S0166-218X(01)00243-8

    Article  MathSciNet  MATH  Google Scholar 

  • Budak C, Agrawal D, El Abbadi A (2011) Limiting the spread of misinformation in social networks. In: Proceedings of the 20th international conference on world wide web, WWW 2011, Hyderabad, India, March 28–April 1, 2011, pp 665–674. https://doi.org/10.1145/1963405.1963499

  • Chen W, Wang C, Wang Y (2010a) Scalable influence maximization for prevalent viral marketing in large-scale social networks. In: Proceedings of the 16th ACM SIGKDD international conference on knowledge discovery and data mining, Washington, DC, USA, July 25–28, 2010, pp 1029–1038. https://doi.org/10.1145/1835804.1835934

  • Chen W, Yuan Y, Zhang L (2010b) Scalable influence maximization in social networks under the linear threshold model. In: ICDM 2010, The 10th IEEE international conference on data mining, Sydney, Australia, 14–17 December 2010, pp 88–97. https://doi.org/10.1109/ICDM.2010.118

  • Cho E, Myers SA, Leskovec J (2011) Friendship and mobility: user movement in location-based social networks. In: Proceedings of the 17th ACM SIGKDD international conference on knowledge discovery and data mining, San Diego, CA, USA, August 21–24, 2011, pp 1082–1090. https://doi.org/10.1145/2020408.2020579

  • Domm P (2013) False rumor of explosion at white house causes stocks to briefly plunge; AP confirms its Twitter feed was hacked CNBC. CNBC http://www.cnbc.com/id/100646197. Accessed 21 July 2019

  • Farajtabar M, Yang J, Ye X, Xu H, Trivedi R, Khalil EB, Li S, Song L, Zha H (2017) Fake news mitigation via point process based intervention. In: Proceedings of the 34th international conference on machine learning, ICML 2017, Sydney, NSW, Australia, 6–11 August 2017, pp 1097–1106. http://proceedings.mlr.press/v70/farajtabar17a.html

  • Goyal A, Bonchi F, Lakshmanan LVS, Venkatasubramanian S (2013) On minimizing budget and time in influence propagation over social networks. Soc Netw Anal Min 3(2):179–192. https://doi.org/10.1007/s13278-012-0062-z

    Article  Google Scholar 

  • He X, Song G, Chen W, Jiang Q (2012) Influence blocking maximization in social networks under the competitive linear threshold model. In: Proceedings of the Twelfth SIAM international conference on data mining, Anaheim, California, USA, April 26–28, 2012, pp 463–474. https://doi.org/10.1137/1.9781611972825.40

  • Kempe D, Kleinberg JM, Tardos É (2003) Maximizing the spread of influence through a social network. In: Proceedings of the ninth ACM SIGKDD international conference on knowledge discovery and data mining, Washington, DC, USA, August 24–27, 2003, pp 137–146. https://doi.org/10.1145/956750.956769

  • Khalil EB, Dilkina BN, Song L (2014) Scalable diffusion-aware optimization of network topology. In: The 20th ACM SIGKDD international conference on knowledge discovery and data mining, KDD ’14, New York, NY, USA, August 24–27, 2014, pp 1226–1235. https://doi.org/10.1145/2623330.2623704

  • Kumar S, Spezzano F, Subrahmanian VS, Faloutsos C (2016) Edge weight prediction in weighted signed networks. In: IEEE 16th international conference on data mining, ICDM 2016, December 12–15, 2016, Barcelona, Spain, pp 221–230. https://doi.org/10.1109/ICDM.2016.0033

  • Leskovec J, Kleinberg JM, Faloutsos C (2005) Graphs over time: densification laws, shrinking diameters and possible explanations. In: Proceedings of the eleventh ACM SIGKDD international conference on knowledge discovery and data mining, Chicago, Illinois, USA, August 21–24, 2005, pp 177–187. https://doi.org/10.1145/1081870.1081893

  • Leskovec J, Krause A, Guestrin C, Faloutsos C, VanBriesen JM, Glance NS (2007) Cost-effective outbreak detection in networks. In: Proceedings of the 13th ACM SIGKDD international conference on knowledge discovery and data mining, San Jose, California, USA, August 12–15, 2007, pp 420–429. https://doi.org/10.1145/1281192.1281239

  • Leskovec J, Lang KJ, Dasgupta A, Mahoney MW (2009) Community structure in large networks: natural cluster sizes and the absence of large well-defined clusters. Internet Math 6(1):29–123. https://doi.org/10.1080/15427951.2009.10129177

    Article  MathSciNet  MATH  Google Scholar 

  • Nguyen HT, Cano A, Tam V, Dinh TN (2019) Blocking self-avoiding walks stops cyber-epidemics: a scalable GPU-based approach. IEEE Trans Knowl Data Eng. https://doi.org/10.1109/TKDE.2019.2904969

    Article  Google Scholar 

  • Nguyen NP, Yan G, Thai MT (2013) Analysis of misinformation containment in online social networks. Comput Netw 57(10):2133–2146. https://doi.org/10.1016/j.comnet.2013.04.002

    Article  Google Scholar 

  • Page L, Brin S, Motwani R, Winograd T (1998) The pagerank citation ranking: bringing order to the web. Technical Report, Stanford Digital Library Technologies Project

  • Pham CV, Dinh HM, Nguyen HD, Dang HT, Hoang HX (2017) Limiting the spread of epidemics within time constraint on online social networks. In: Proceedings of the eighth international symposium on information and communication technology, Nha Trang City, Viet Nam, December 7–8, 2017, pp 262–269. https://doi.org/10.1145/3155133.3155157

  • Pham CV, Thai MT, Duong HV, Bui BQ, Hoang HX (2018) Maximizing misinformation restriction within time and budget constraints. J Comb Optim 35(4):1202–1240. https://doi.org/10.1007/s10878-018-0252-3

    Article  MathSciNet  MATH  Google Scholar 

  • Prakash BA, Tong H, Valler N, Faloutsos M, Faloutsos C (2010) Virus propagation on time-varying networks: theory and immunization algorithms. In: Machine learning and knowledge discovery in databases, European conference, ECML PKDD 2010, Barcelona, Spain, September 20–24, 2010, Proceedings, Part III, pp 99–114. https://doi.org/10.1007/978-3-642-15939-8_7

    Chapter  Google Scholar 

  • Ripeanu M, Foster IT, Iamnitchi A (2002) Mapping the gnutella network: properties of large-scale peer-to-peer systems and implications for system design. CoRR arXiv:cs.DC/0209028

  • Song C, Hsu W, Lee M (2015) Node immunization over infectious period. In: Proceedings of the 24th ACM international conference on information and knowledge management, CIKM 2015, Melbourne, VIC, Australia, October 19–23, 2015, pp 831–840. https://doi.org/10.1145/2806416.2806522

  • Song C, Hsu W, Lee M (2017) Temporal influence blocking: minimizing the effect of misinformation in social networks. In: 33rd IEEE international conference on data engineering, ICDE 2017, San Diego, CA, USA, April 19–22, 2017, pp 847–858. https://doi.org/10.1109/ICDE.2017.134

  • Tong G, Wu W, Du D (2018a) Distributed rumor blocking with multiple positive cascades. IEEE Trans Comput Soc Syst 5(2):468–480. https://doi.org/10.1109/TCSS.2018.2818661

    Article  Google Scholar 

  • Tong GA, Wu W, Guo L, Li D, Liu C, Liu B, Du D (2017) An efficient randomized algorithm for rumor blocking in online social networks. In: 2017 IEEE conference on computer communications, INFOCOM 2017, Atlanta, GA, USA, May 1–4, 2017, pp 1–9. https://doi.org/10.1109/INFOCOM.2017.8056957

  • Tong GA, Du D, Wu W (2018b) On misinformation containment in online social networks. In: Advances in neural information processing systems 31: annual conference on neural information processing systems 2018, NeurIPS 2018, 3–8 December 2018, Montréal, Canada., pp 339–349. http://papers.nips.cc/paper/7317-on-misinformation-containment-in-online-social-networks

  • Tong H, Prakash BA, Tsourakakis CE, Eliassi-Rad T, Faloutsos C, Chau DH (2010) On the vulnerability of large graphs. In: ICDM 2010, The 10th IEEE international conference on data mining, Sydney, Australia, 14–17 December 2010, pp 1091–1096. https://doi.org/10.1109/ICDM.2010.54

  • Valiant LG (1979) The complexity of enumeration and reliability problems. SIAM J Comput 8(3):410–421. https://doi.org/10.1137/0208032

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang Y, Prakash BA (2015) Data-aware vaccine allocation over large networks. TKDD 10(2):20:1–20:32. https://doi.org/10.1145/2803176

    Article  Google Scholar 

  • Zhang H, Alim MA, Li X, Thai MT, Nguyen HT (2016a) Misinformation in online social networks: detect them all with a limited budget. ACM Trans Inf Syst 34(3):18:1–18:24. https://doi.org/10.1145/2885494

    Article  Google Scholar 

  • Zhang Y, Adiga A, Saha S, Vullikanti A, Prakash BA (2016b) Near-optimal algorithms for controlling propagation at group scale on networks. IEEE Trans Knowl Data Eng 28(12):3339–3352. https://doi.org/10.1109/TKDE.2016.2605088

    Article  Google Scholar 

  • Zhang H, Nguyen DT, Zhang H, Thai MT (2016c) Least cost influence maximization across multiple social networks. IEEE/ACM Trans Netw (TON) 24(2):929–939

    Article  Google Scholar 

  • Zheng J, Pan L (2018) Least cost rumor community blocking optimization in social networks. In: 2018 third international conference on security of smart cities, industrial control system and communications (SSIC), pp 1–5. https://doi.org/10.1109/SSIC.2018.8556739

  • Zhu W, Yang W, Xuan S, Man D, Wang W, Du X, Guizani M (2019) Location-based seeds selection for influence blocking maximization in social networks. IEEE Access 7:27272–27287. https://doi.org/10.1109/ACCESS.2019.2900708

    Article  Google Scholar 

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Correspondence to Huan X. Hoang or My T. Thai.

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Pham, C.V., Phu, Q.V., Hoang, H.X. et al. Minimum budget for misinformation blocking in online social networks. J Comb Optim 38, 1101–1127 (2019). https://doi.org/10.1007/s10878-019-00439-5

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