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文章基本信息

  • 标题:Avoidance Coupling
  • 本地全文:下载
  • 作者:Angel, Omer ; Holroyd, Alexander E ; Martin, James
  • 期刊名称:Electronic Communications in Probability
  • 印刷版ISSN:1083-589X
  • 出版年度:2013
  • 卷号:18
  • 页码:1-13
  • DOI:10.1214/ECP.v18-2275
  • 语种:English
  • 出版社:Electronic Communications in Probability
  • 摘要: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 Omega(n/log n) random walks, taking turns to move in discrete time.
  • 关键词:coupling, coloring;60J10
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