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The number of followings as an influential factor in rumor spreading

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  • Bodaghi, Amirhosein
  • Goliaei, Sama
  • Salehi, Mostafa

Abstract

In this paper, we hypothesize that the number of followings users have on social networks, has an influence on the impact level of the received rumor/anti-rumor messages by those users. We show that influence as a decreasing exponential coefficient on the probabilities by which users' might get affected from the received messages. Then we put forward another hypothesis that suggests that rumor/anti-rumor posts gradually lose their impact power by passage of time. To assign this time-related feature to the posts, we consider a memory for each agent of the network. Finally, we derive stochastic equations of the new model which incorporate both of the new hypotheses and then evaluate it based on real datasets of rumor spreading on Twitter. The evaluation results support the new hypotheses and show that the novel model is able to better represent rumor spreading on online social networks.

Suggested Citation

  • Bodaghi, Amirhosein & Goliaei, Sama & Salehi, Mostafa, 2019. "The number of followings as an influential factor in rumor spreading," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 167-184.
  • Handle: RePEc:eee:apmaco:v:357:y:2019:i:c:p:167-184
    DOI: 10.1016/j.amc.2019.04.005
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    1. Cangqi Zhou & Qianchuan Zhao & Wenbo Lu, 2015. "Impact of Repeated Exposures on Information Spreading in Social Networks," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-21, October.
    2. Zhao, Zhen-jun & Liu, Yong-mei & Wang, Ke-xi, 2016. "An analysis of rumor propagation based on propagation force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 263-271.
    3. Liu, Wanping & Wu, Xiao & Yang, Wu & Zhu, Xiaofei & Zhong, Shouming, 2019. "Modeling cyber rumor spreading over mobile social networks: A compartment approach," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 214-229.
    4. Wang, Zhishuang & Guo, Quantong & Sun, Shiwen & Xia, Chengyi, 2019. "The impact of awareness diffusion on SIR-like epidemics in multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 134-147.
    5. Li, Chao & Wang, Li & Sun, Shiwen & Xia, Chengyi, 2018. "Identification of influential spreaders based on classified neighbors in real-world complex networks," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 512-523.
    6. Wang, Juan & Li, Chao & Xia, Chengyi, 2018. "Improved centrality indicators to characterize the nodal spreading capability in complex networks," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 388-400.
    7. Nekovee, M. & Moreno, Y. & Bianconi, G. & Marsili, M., 2007. "Theory of rumour spreading in complex social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 457-470.
    8. Javier Borge-Holthoefer & Pablo Piedrahita & Alex Arenas, 2018. "Evolving activity cascades on socio-technological networks," Journal of Computational Social Science, Springer, vol. 1(1), pages 67-79, January.
    9. Jie, Renlong & Qiao, Jian & Xu, Genjiu & Meng, Yingying, 2016. "A study on the interaction between two rumors in homogeneous complex networks under symmetric conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 454(C), pages 129-142.
    10. Isham, Valerie & Harden, Simon & Nekovee, Maziar, 2010. "Stochastic epidemics and rumours on finite random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 561-576.
    11. Amirhosein Bodaghi & Sama Goliaei, 2018. "A Novel Model For Rumor Spreading On Social Networks With Considering The Influence Of Dissenting Opinions," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 21(06n07), pages 1-24, September.
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