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A discrete random walk on the hypercube

Author

Listed:
  • Zhang, Jingyuan
  • Xiang, Yonghong
  • Sun, Weigang

Abstract

In this paper, we study the scaling for mean first-passage time (MFPT) of random walks on the hypercube and obtain a closed-form formula for the MFPT over all node pairs. We also determine the exponent of scaling efficiency characterizing the random walks and compare it with those of the existing networks. Finally we study the random walks on the hypercube with a located trap and provide a solution of the Kirchhoff index of the hypercube.

Suggested Citation

  • Zhang, Jingyuan & Xiang, Yonghong & Sun, Weigang, 2018. "A discrete random walk on the hypercube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 1-7.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:1-7
    DOI: 10.1016/j.physa.2017.12.005
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    References listed on IDEAS

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    1. Shunqi Wu & Zhongzhi Zhang & Guanrong Chen, 2011. "Random walks on dual Sierpinski gaskets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 82(1), pages 91-96, July.
    2. S. Condamin & O. Bénichou & V. Tejedor & R. Voituriez & J. Klafter, 2007. "First-passage times in complex scale-invariant media," Nature, Nature, vol. 450(7166), pages 77-80, November.
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