Bounds for cops and robber pursuit

نویسندگان

  • Laurent Alonso
  • Edward M. Reingold
چکیده

We prove that the robber can evade (that is, stay at least unit distance from) at least bn/5.889c cops patroling an n × n continuous square region, that a robber can always evade a single cop patroling a square with side length 4 or larger, and that a single cop on patrol can always capture the robber in a square with side length smaller than 2.189 · · · .

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عنوان ژورنال:
  • Comput. Geom.

دوره 43  شماره 

صفحات  -

تاریخ انتشار 2010