论文标题
具有球形和欧几里得指标的高维歧管中的警察和强盗游戏
Cops and Robber game in higher-dimensional manifolds with spherical and Euclidean metric
论文作者
论文摘要
最近引入的警察和强盗游戏的变化是在地球空间上进行的。在本文中,我们为玩家建立了一些一般策略,尤其是广义径向策略和涵盖空间策略。然后将这些策略应用于$ n $维球,球体和圆环的游戏。
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.