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A convex principle of search time for a multi-biased random walk on complex networks

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  • Wang, Yan
  • Cao, Xinxin
  • Weng, Tongfeng
  • Yang, Huijie
  • Gu, Changgui

Abstract

We propose a mixed strategy named multi-biased random walk on complex networks, i.e., a walker simultaneously adopts different biased random walks with respective proportions. An analytical expression of mean first passage time is derived to quantify the expected time required to find a given target. The global mean first passage time of our strategy turns out to obey a convex function with respect to that of their associated pure strategies no matter the target is static or mobile. It is a fundamental law governing this mixed search strategy. These findings are confirmed by numerical and theoretical results on a number of synthetic and real networks.

Suggested Citation

  • Wang, Yan & Cao, Xinxin & Weng, Tongfeng & Yang, Huijie & Gu, Changgui, 2021. "A convex principle of search time for a multi-biased random walk on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003441
    DOI: 10.1016/j.chaos.2021.110990
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    References listed on IDEAS

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    1. Xiaohong Zhang & Yulin Jiang & Jianji Ren & Chaosheng Tang, 2018. "A label propagation approach based on local optimization," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-16, June.
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    Cited by:

    1. Feng, Shiyuan & Weng, Tongfeng & Wang, Yan & Xu, Yubin & Ren, Zhuoming & Zhan, Li, 2024. "Random search processes on complex networks: From a static target to a moving object," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 636(C).
    2. Jiang, Yuan & Yan, Yuwei & Hong, Cheng & Yang, Songqing & Yu, Rongbin & Dai, Jiyang, 2022. "Multidirectional recovery strategy against failure," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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