Random walks on edge-transitive graphs (II)

José Luis Palacios, José Miguel Renom and Pedro Berrizbeitia

Statistics & Probability Letters, 1999, vol. 43, issue 1, 25-32

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.

Keywords: Edge-transitive; graphs; Hitting; times; Cayley; graphs (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (4)

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