Cops and Robber game in higher-dimensional manifolds with spherical and Euclidean metric
Metric Geometry
2022-11-07 v1
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 -dimensional ball, the sphere, and the torus.
Keywords
Cite
@article{arxiv.2211.02290,
title = {Cops and Robber game in higher-dimensional manifolds with spherical and Euclidean metric},
author = {Vesna Iršič and Bojan Mohar and Alexandra Wesolek},
journal= {arXiv preprint arXiv:2211.02290},
year = {2022}
}
Comments
19 pages