| Issue |
RAIRO-Theor. Inf. Appl.
Volume 50, Number 3, July-September 2016
|
|
|---|---|---|
| Page(s) | 227 - 240 | |
| DOI | https://doi.org/10.1051/ita/2016022 | |
| Published online | 10 November 2016 | |
Parameterized exact and approximation algorithms for maximum k-set cover and related satisfiability problems
1 Institute for Computer Science and
Control, Hungarian Academy of Sciences (MTA SZTAKI), Budapest,
Hungary.
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2 Université Paris-Dauphine, PSL
Research University, CNRS, LAMSADE, Paris,
France.
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Received:
19
January
2016
Accepted:
26
September
2016
Abstract
Given a family of subsets 𝒮 over a set of elements X and two integers p and k, max k-set cover consists of finding a subfamily 𝒯 ⊆ 𝒮 of cardinality at most k, covering at least p elements of X. This problem is W[2]-hard when parameterized by k, and FPT when parameterized by p. We investigate the parameterized approximability of the problem with respect to parameters k and p. Then, we show that max sat-k, a satisfiability problem generalizing max k-set cover, is also FPT with respect to parameter p.
Mathematics Subject Classification: 68Q17 / 68W25
Key words: Parameterized complexity / parameterized approximation / max k-set cover
© EDP Sciences 2016
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