Avoidance Coupling

نویسندگان

  • Omer Angel
  • Alexander E. Holroyd
  • James Martin
  • David B. Wilson
  • Peter Winkler
چکیده

We examine the question of whether a collection of random walks on a graph can be coupled so that they never collide. In particular, we show that on the complete graph on n vertices, with or without loops, there is a Markovian coupling keeping apart Ω(n/ logn) random walks, taking turns to move in discrete time.

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تاریخ انتشار 2011