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Decomposing Hitting Times of Walks on Graphs into Simpler Ones

Author

Listed:
  • Miguel Río

    (Universidad Simón Bolívar)

  • José Luis Palacios

    (University of New Mexico)

Abstract

Using the electric approach, we derive a formula that expresses an expected hitting time of a random walk between two vertices a and b of a graph G as a convex linear combination of expected hitting times of walks between a and b on subgraphs of G, provided certain condition on a and b is satisfied. Then we use this formula in several applications.

Suggested Citation

  • Miguel Río & José Luis Palacios, 2016. "Decomposing Hitting Times of Walks on Graphs into Simpler Ones," Methodology and Computing in Applied Probability, Springer, vol. 18(4), pages 1035-1042, December.
    • Handle: RePEc:spr:metcap:v:18:y:2016:i:4:d:10.1007_s11009-015-9455-6
    DOI: 10.1007/s11009-015-9455-6
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    References listed on IDEAS

    as
    1. Haiyan, Chen & Fuji, Zhang, 2004. "The expected hitting times for graphs with cutpoints," Statistics & Probability Letters, Elsevier, vol. 66(1), pages 9-17, January.
    2. Palacios, JoséLuis & Renom, JoséMiguel, 1998. "Random walks on edge transitive graphs," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 29-34, January.
    3. Palacios, José Luis, 2009. "On hitting times of random walks on trees," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 234-236, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Wang, Chengyong & Guo, Ziliang & Li, Shuchao, 2018. "Expected hitting times for random walks on the k-triangle graph and their applications," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 698-710.

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