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arXiv · 2211.02290

Cops and Robber game in higher-dimensional manifolds with spherical and Euclidean metric

Vesna Iršič·Bojan Mohar·Alexandra Wesolek
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Abstract

The recently introduced variation of the game of cops and robber is played on geodesic spaces. In this paper we establish some general strategies for the players, in particular the generalized radial strategy and the covering space strategy. Those strategies are then applied to the game on the $n$-dimensional ball, the sphere, and the torus.

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Vesna Iršič, Bojan Mohar, Alexandra Wesolek. 2022-11-04. Cops and Robber game in higher-dimensional manifolds with spherical and Euclidean metric. https://arxiv.org/abs/2211.02290

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