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arXiv · 1806.11527

Representative families for matroid intersections, with applications to location, packing, and covering problems

René van Bevern·Oxana Yu. Tsidulko·Philipp Zschoche
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Abstract

We show algorithms for computing representative families for matroid intersections and use them in fixed-parameter algorithms for set packing, set covering, and facility location problems with multiple matroid constraints. We complement our tractability results by hardness results.

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René van Bevern, Oxana Yu. Tsidulko, Philipp Zschoche. 2018-06-29. Representative families for matroid intersections, with applications to location, packing, and covering problems. https://doi.org/10.1016/j.dam.2021.03.014

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