AI 中文总结
研究警察与强盗游戏中确定捕获强盗所需最少警察数量的问题，核心方法是再现2022年提出的k - 警察必胜算法并给出Python实现，主要贡献是详细阐述实现细节、关键方面及对未来实际部署的影响。
AI 中文摘要
警察与强盗是一个经过充分研究的追捕逃避游戏，能为图论和理论计算提供见解。核心问题是确定捕获强盗所需警察的最小数量，即警察数。我们专注于再现Petr、Portier和Versteegen在2022年提出的算法，它能有效确定图是否为k - 警察必胜。本文给出了该算法的Python实现，详细阐述实现细节，阐明算法关键方面，并讨论其对未来实际部署的影响。
英文摘要
Cops and Robbers is a well-studied pursuit-evasion game that provides insights into graph theory and theoretical computing. A central question is determining the minimum number of cops required to capture the robber, known as the cop number. We focus on reproducing an algorithm proposed by Petr, Portier, and Versteegen in 2022, which efficiently determines whether a graph is $k$-copwin. This paper presents a Python implementation of the $k$-copwin algorithm. In this work, we present our implementation in detail, clarify key aspects of the algorithm, and discuss its implications for future practical deployments.
