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Expected hitting times for random walks on weak products of graphs

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  • González-Arévalo, Bárbara
  • Palacios, José Luis

Abstract

We study the symmetry properties in weak products of graphs which are inherited from the coordinate graphs and which enable the computation of expected hitting times for a random walk on the product graph. We obtain explicit values for expected hitting times between non-neighboring vertices of the product of certain unitary Cayley graphs, showing a complexity not expected from the one-dimensional results on these Cayley graphs.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:43:y:1999:i:1:p:33-39
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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 & 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. S. Madhumitha & Sudev Naduvath, 2023. "Graphs Defined on Rings: A Review," Mathematics, MDPI, vol. 11(17), pages 1-80, August.

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