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arXiv · 1801.07193

Even flying cops should think ahead

Anders Martinsson·Florian Meier·Patrick Schnider·Angelika Steger
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Abstract

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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Anders Martinsson, Florian Meier, Patrick Schnider, Angelika Steger. 2018-01-22. Even flying cops should think ahead. https://arxiv.org/abs/1801.07193

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