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arXiv · 1705.08773

A Two-Level Graph Partitioning Problem Arising in Mobile Wireless Communications

Jamie Fairbrother·Adam Letchford·Keith Briggs
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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.

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Jamie Fairbrother, Adam Letchford, Keith Briggs. 2017-05-24. A Two-Level Graph Partitioning Problem Arising in Mobile Wireless Communications. https://arxiv.org/abs/1705.08773

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