A two-level graph partitioning problem arising in mobile wireless communications

Jamie Fairbrother (), Adam N. Letchford () and Keith Briggs ()
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Jamie Fairbrother: Lancaster University
Adam N. Letchford: Lancaster University
Keith Briggs: BT Technology, Service & Operations

Computational Optimization and Applications, 2018, vol. 69, issue 3, No 4, 653-676

Abstract: 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 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.

Keywords: Graph partitioning; Integer programming; Cutting planes; Telecommunications (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10589-017-9967-9

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