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Preferential network perturbation

Author

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  • Quayle, A.P.
  • Siddiqui, A.S.
  • Jones, S.J.M.

Abstract

We study network robustness to perturbation for a pair of non-directional networks, motivated by applications in cancer network modelling. The susceptibility of single networks to attack and failure has been well-studied, but a similar problem for a pair of networks with non-zero similarity has so far not been considered. In the current approach, we wish to maximise the perturbation of one network while minimising that of a second network, thus achieving a “preferential” perturbation. We focus on network pairs derived from a single underlying network which we call “correlated” networks, and use model networks to generate results and principles for general network topologies.

Suggested Citation

  • Quayle, A.P. & Siddiqui, A.S. & Jones, S.J.M., 2006. "Preferential network perturbation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 823-840.
  • Handle: RePEc:eee:phsmap:v:371:y:2006:i:2:p:823-840
    DOI: 10.1016/j.physa.2006.03.031
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    References listed on IDEAS

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    1. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo & Rapisarda, Andrea, 2004. "Error and attack tolerance of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 388-394.
    2. G. Paul & T. Tanizawa & S. Havlin & H. Stanley, 2004. "Optimization of robustness of complex networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 38(2), pages 187-191, March.
    3. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
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    2. Ren, Baoan & Zhang, Yu & Chen, Jing & Shen, Lincheng, 2019. "Efficient network disruption under imperfect information: The sharpening effect of network reconstruction with no prior knowledge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 196-207.

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