Fairbrother, Jamie and Letchford, Adam Nicholas and Briggs, Keith (2018) A two-level graph partitioning problem arising in mobile wireless communications. Computational Optimization and Applications, 69 (3). pp. 653-676. ISSN 0926-6003
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Abstract
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 cluster. 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.