alpha-Kuramoto分割：从失败的Kuramoto模型中得到的图分割推广了公平分割
alpha-Kuramoto partitions: graph partitions from the frustrated Kuramoto model generalise equitable partitions
摘要：
仓本模型描述了耦合振子系统的集体动力学。α-仓本划分是当振子包含相位阻挫参数时，由仓本模型引起的图划分。我们证明了每一个公平的划分是一个alpha-Kuramoto划分，但反过来并不一定成立。我们给出了α-仓本二分区的一个精确刻画。
英文摘要：
The Kuramoto model describes the collective dynamics of a system of coupled oscillators. An alpha-Kuramoto partition is a graph partition induced by the Kuramoto model, when the oscillators include a phase frustration parameter. We prove that every equitable partition is an alpha-Kuramoto partition, but that the converse does necessarily not hold. We give an exact characterisation of alpha-Kuramoto bipartitions.
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。
