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arXiv · 2506.20753

Accelerated Cops and Robbers

William B. Kinnersley·Nikolas Townsend
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Abstract

We consider a variant of Cops and Robbers in which both the cops and the robber are allowed to traverse up to $s$ edges on each of their turns, where $s \ge 2$. We give several general for this new model as well as establish bounds for the cop numbers for grids and hypercubes. We also determine the capture time of cop-win graphs when $s = 2$ up to a small additive constant.

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William B. Kinnersley, Nikolas Townsend. 2025-06-25. Accelerated Cops and Robbers. https://arxiv.org/abs/2506.20753

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