| Issue |
RAIRO-Oper. Res.
Volume 51, Number 1, January-March 2017
|
|
|---|---|---|
| Page(s) | 261 - 266 | |
| DOI | https://doi.org/10.1051/ro/2016018 | |
| Published online | 01 February 2017 | |
Dual parameterization and parameterized approximability of subset graph problems
1 Institute for Computer Science and Control, Hungarian Academy of Sciences (MTA SZTAKI), 1051 Budapest, Hungary.
bonnet.edouard@sztaki.mta.hu
2 PSL* Research University, Université Paris-Dauphine, LAMSADE, CNRS UMR 7243, Paris, France.
paschos@lamsade.dauphine.fr
Received: 11 June 2015
Accepted: 18 February 2016
We discuss approximability in FPT-time for the class of subset optimization graph problems where a feasible solution S is a subset of the vertex set of the input graph. This class encompasses many well-known problems, such as min dominating set, min vertex cover, max independent set, min feedback vertex set. We study approximability of such problems with respect to the dual parameter n − k where n is size of the vertex set and k the standard parameter. We show that under such parameterization, many of these problems, while W[·]-hard, admit parameterized approximation schemata.
Mathematics Subject Classification: 68Q15 / 68Q17 / 68R10 / 68W25
Key words: Polynomial approximation / parameterized approximation / subset problems
© EDP Sciences, ROADEF, SMAI 2017
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