Coalescing Random Walks and Voting on Connected Graphs

  title={Coalescing Random Walks and Voting on Connected Graphs},
  author={Colin S Cooper and Robert Els{\"a}sser and Hirotaka Ono and Tomasz Radzik},
  journal={SIAM J. Discrete Math.},
In a coalescing random walk, a set of particles make independent discrete-time random walks on a graph. Whenever one or more particles meet at a vertex, they unite to form a single particle, which then continues a random walk through the graph. Let G = (V,E), be an undirected and connected graph, with n vertices and m edges. The coalescence time, C(n), is the expected time for all particles to coalesce, when initially one particle is located at each vertex. We study the problem of bounding the… CONTINUE READING
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