How to Hunt an Invisible Rabbit on a Graph

نویسندگان

  • Tatjana V. Abramovskaya
  • Fedor V. Fomin
  • Petr A. Golovach
  • Michal Pilipczuk
چکیده

We investigate Hunters & Rabbit game, where a set of hunters tries to catch an invisible rabbit that slides along the edges of a graph. We show that the minimum number of hunters required to win on an (n × m)-grid is b 2 c + 1. We also show that the extremal value of this number on n-vertex trees is between Ω(log n/ log log n) and O(log n).

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 52  شماره 

صفحات  -

تاریخ انتشار 2015