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Random walks on edge-transitive graphs (II)

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  • Palacios, José Luis
  • Renom, José Miguel
  • Berrizbeitia, Pedro
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    Abstract

    We give formulas, in terms of the number of pure k-cycles, for the expected hitting times between vertices at distances greater than 1 for random walks on edge-transitive graphs, extending our prior results for neighboring vertices and also extending results of Devroye-Sbihi and Biggs concerning distance-regular graphs. We apply these formulas to a class of Cayley graphs and give explicit values for the expected hitting times.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-3W48HPM-4/2/ad7c12e1693bd3d56144578960542e9c
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 43 (1999)
    Issue (Month): 1 (May)
    Pages: 25-32

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    Handle: RePEc:eee:stapro:v:43:y:1999:i:1:p:25-32

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    Related research

    Keywords: Edge-transitive graphs Hitting times Cayley graphs;

    References

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    1. 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. 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. González-Arévalo, Bárbara & Palacios, José Luis, 1999. "Expected hitting times for random walks on weak products of graphs," Statistics & Probability Letters, Elsevier, vol. 43(1), pages 33-39, May.

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