北卡罗来纳州的最佳立法县集群
Optimal Legislative County Clustering in North Carolina
摘要：
北卡罗来纳州的宪法规定，州立法区不应分裂县。然而，县必须分裂，以遵守美国最高法院的“一人一票”授权。鉴于县必须分裂，北卡罗来纳州立法机构和法院提供了指导方针，寻求减少县跨地区分裂，同时也遵守“一人一票”的标准。根据这些准则，这些县被分成若干组。这项工作的主要目标是根据法院在2015年制定的指导方针，开发、展示并公开发布一种算法，以最佳方式对县进行聚类。我们使用这个工具来研究2017年重新划分过程中制定的集群的最优性和唯一性。我们验证，制定集群是最优的，但找到其他最优的选择。我们强调，我们提供的工具列出了\textit{all}可能的最佳县聚类。我们还探讨了在不断变化的全州人口下集群的稳定性，并预测了在2020/2021年开始的下一个重新划分周期中县集群的样子。
英文摘要：
North Carolina's constitution requires that state legislative districts should not split counties. However, counties must be split to comply with the "one person, one vote" mandate of the U.S. Supreme Court. Given that counties must be split, the North Carolina legislature and courts have provided guidelines that seek to reduce counties split across districts while also complying with the "one person, one vote" criteria. Under these guidelines, the counties are separated into clusters. The primary goal of this work is to develop, present, and publicly release an algorithm to optimally cluster counties according to the guidelines set by the court in 2015. We use this tool to investigate the optimality and uniqueness of the enacted clusters under the 2017 redistricting process. We verify that the enacted clusters are optimal, but find other optimal choices. We emphasize that the tool we provide lists \textit{all} possible optimal county clusterings. We also explore the stability of clustering under changing statewide populations and project what the county clusters may look like in the next redistricting cycle beginning in 2020/2021.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
