Even flying cops should think ahead

نویسندگان

  • Anders Martinsson
  • Florian Meier
  • Patrick Schnider
  • Angelika Steger
چکیده

We study the entanglement game, which is a version of cops and robbers, on sparse graphs. While the minimum degree of a graph G is a lower bound for the number of cops needed to catch a robber in G, we show that the required number of cops can be much larger, even for graphs with small maximum degree. In particular, we show that there are 3-regular graphs where a linear number of cops are needed.

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عنوان ژورنال:
  • CoRR

دوره abs/1801.07193  شماره 

صفحات  -

تاریخ انتشار 2018