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Finding another yourself in multiplex networks

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  • Zhao, Dawei
  • Wang, Lianhai
  • Xu, Lijuan
  • Wang, Zhen

Abstract

Recently multiplex networks have attracted a great deal of attentions in the science of complex networks, since they provide more natural and reasonable way to describe realistic complex systems. However, one of the biggest challenges for this issue is the lack of real-world multiplex data, which is mainly caused by the difficulty to distinguish who the replicas of nodes in different network layers (namely, finding another yourself (FAY) problem). In this paper, we consider two kinds of epidemic spreading models named SIR-DIAL model and SIR-NIAL model, and propose methods to solve the FAY problem based on the replica similarity during the epidemic process. To acquire high accuracy, our methods need to observe the spreading information of as many epidemics as possible, and record state information of nodes at as many time steps as possible during the epidemic spreading process with SIR-DIAL model; but just the final results after the epidemic spreading process ends in SIR-NIAL model.

Suggested Citation

  • Zhao, Dawei & Wang, Lianhai & Xu, Lijuan & Wang, Zhen, 2015. "Finding another yourself in multiplex networks," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 599-604.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:599-604
    DOI: 10.1016/j.amc.2015.05.099
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    References listed on IDEAS

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    1. Dawei Zhao & Lianhai Wang & Shudong Li & Zhen Wang & Lin Wang & Bo Gao, 2014. "Immunization of Epidemics in Multiplex Networks," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-5, November.
    2. Jasjit Singh, 2005. "Collaborative Networks as Determinants of Knowledge Diffusion Patterns," Management Science, INFORMS, vol. 51(5), pages 756-770, May.
    3. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    4. Lin Wang & Xiang Li & Yi-Qing Zhang & Yan Zhang & Kan Zhang, 2011. "Evolution of Scaling Emergence in Large-Scale Spatial Epidemic Spreading," PLOS ONE, Public Library of Science, vol. 6(7), pages 1-11, July.
    5. Chang, Lili & Sun, Gui-Quan & Wang, Zhen & Jin, Zhen, 2015. "Rich dynamics in a spatial predator–prey model with delay," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 540-550.
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    Cited by:

    1. Zhao, Dawei & Wang, Lianhai & Xu, Shujiang & Liu, Guangqi & Han, Xiaohui & Li, Shudong, 2017. "Vital layer nodes of multiplex networks for immunization and attack," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 169-175.
    2. Zheng, Mingwen & Wang, Zeming & Li, Lixiang & Peng, Haipeng & Xiao, Jinghua & Yang, Yixian & Zhang, Yanping & Feng, Cuicui, 2018. "Finite-time generalized projective lag synchronization criteria for neutral-type neural networks with delay," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 195-203.
    3. Zan, Yongli, 2018. "DSIR double-rumors spreading model in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 110(C), pages 191-202.

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