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Altering control modes of complex networks based on edge removal

Author

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  • Zhang, Xizhe
  • Li, Qian

Abstract

Controlling a complex network is of great importance in many applications. The network can be controlled by inputting external control signals through some selected nodes, which are called input nodes. Previous works found that the majority of the nodes in dense networks are either the input nodes or not, which leads to the bimodality in controlling the complex networks. Due to the physical or economic constraints of many real control scenarios, altering the control mode of a network may be critical to many applications. Here we develop a graph-based algorithm to alter the control mode of a network. The main idea is to change the control connectivity of nodes by removing carefully selected edges. We rigorously prove the correctness of our algorithm and evaluate its performance on both synthetic and real networks. The experimental results show that the control mode of a network can be easily changed by removing few selected edges. Our methods provide the ability to design the desired control mode for different control scenarios, which may be useful in many applications.

Suggested Citation

  • Zhang, Xizhe & Li, Qian, 2019. "Altering control modes of complex networks based on edge removal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 185-193.
    • Handle: RePEc:eee:phsmap:v:516:y:2019:i:c:p:185-193
    DOI: 10.1016/j.physa.2018.09.146
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    References listed on IDEAS

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    1. Xizhe Zhang & Huaizhen Wang & Tianyang Lv, 2017. "Efficient target control of complex networks based on preferential matching," PLOS ONE, Public Library of Science, vol. 12(4), pages 1-10, April.
    2. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
    3. Ravindran, Vandana & V., Sunitha & Bagler, Ganesh, 2017. "Identification of critical regulatory genes in cancer signaling network using controllability analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 134-143.
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    Cited by:

    1. Zhang, Xizhe & Zhu, Yuyan & Zhao, Yongkang, 2021. "Altering control modes of complex networks by reversing edges," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    2. Yu, Xiaoyao & Liang, Yongqing & Wang, Xiaomeng & Jia, Tao, 2021. "The network asymmetry caused by the degree correlation and its effect on the bimodality in control," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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