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On hitting times of random walks on trees

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  • Palacios, José Luis

Abstract

We derive a closed-form formula for the expected hitting times of general random walks on trees with very elementary electric means, and discuss when these expected hitting times turn out to be natural numbers in the case of the linear graph endowed with conductances which are all natural numbers.

Suggested Citation

  • Palacios, José Luis, 2009. "On hitting times of random walks on trees," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 234-236, January.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:2:p:234-236
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    References listed on IDEAS

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    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.
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    Cited by:

    1. Feng, Lihua & Liu, Weijun & Lu, Lu & Wang, Wei & Yu, Guihai, 2022. "The access time of random walks on trees with given partition," Applied Mathematics and Computation, Elsevier, vol. 427(C).
    2. Kiyoshi Inoue & Sigeo Aki & Balakrishnan Narayanaswamy, 2013. "Generating Functions of Waiting Times and Numbers of Visits for Random Walks on Graphs," Methodology and Computing in Applied Probability, Springer, vol. 15(2), pages 349-362, June.
    3. José Luis Palacios & Daniel Quiroz, 2016. "Birth and Death Chains on Finite Trees: Computing their Stationary Distribution and Hitting Times," Methodology and Computing in Applied Probability, Springer, vol. 18(2), pages 487-498, June.
    4. 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.

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    1. 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.

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