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The expected hitting times for graphs with cutpoints

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  • Haiyan, Chen
  • Fuji, Zhang

Abstract

It is well known that the computation of the expected hitting times for random walks on graphs with cutpoints can be broken into smaller tasks. In this paper, using the electrical network approach, we provide the explicit formulas of the expected hitting times for simple random walks (SRW) on trees and unicyclic graphs. Furthermore, we obtain that the expected hitting times for SRW on trees are natural numbers.

Suggested Citation

  • Haiyan, Chen & Fuji, Zhang, 2004. "The expected hitting times for graphs with cutpoints," Statistics & Probability Letters, Elsevier, vol. 66(1), pages 9-17, January.
    • Handle: RePEc:eee:stapro:v:66:y:2004:i:1:p:9-17
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    References listed on IDEAS

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    1. Palacios, José Luis & Renom, José Miguel & Berrizbeitia, Pedro, 1999. "Random walks on edge-transitive graphs (II)," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 25-32, May.
    2. Palacios, JoséLuis & Tetali, Prasad, 1996. "A note on expected hitting times for birth and death chains," Statistics & Probability Letters, Elsevier, vol. 30(2), pages 119-125, October.
    3. Palacios, JoséLuis & Renom, JoséMiguel, 1998. "Random walks on edge transitive graphs," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 29-34, January.
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    Cited by:

    1. Palacios, José Luis, 2009. "On hitting times of random walks on trees," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 234-236, January.
    2. 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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