A two-level graph partitioning problem arising in mobile wireless communications
研究移动无线通信中的两级图划分问题，提出基于智能预处理、割平面和对称性破缺的精确算法，可求解中小规模实例并给出大规模实例的强下界。
In the k -partition problem (k-PP), one is given an edge-weighted undirected graph, and one must partition the node set into at most k subsets, in order to minimise (or maximise) the total weight of the edges that have their end-nodes in the same subset. Various hierarchical variants of this problem have been studied in the context of data mining. We consider a ‘two-level’ variant that arises in mobile wireless communications. We show that an exact algorithm based on intelligent preprocessing, cutting planes and symmetry-breaking is capable of solving small- and medium-size instances to proven optimality, and providing strong lower bounds for larger instances.