Simple random walks on wheel graphs

نویسنده

  • Yujun Yang
چکیده

A simple random walk on a graph is defined in which a particle moves from one vertex to any adjacent vertex, each with equal probability. The expected hitting time is the expected number of steps to get from one vertex to another before returning to the starting vertex. In this paper, using the electrical network approach, we provide explicit formulae for expected hitting times for simple random walks on wheel graphs. As a by-product, formulae for expected commute times and expected difference times, and bounds for the expected cover times for simple random walks on wheel graphs are obtained.

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تاریخ انتشار 2012