We discuss approximability in FPT-time for the class of subset optimization graph problems where a feasible solution 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 where is size of the vertex set and the standard parameter. We show that under such parameterization, many of these problems, while W[]-hard, admit parameterized approximation schemata.
Accepté le :
DOI : 10.1051/ro/2016018
Mots-clés : Polynomial approximation, parameterized approximation, subset problems
@article{RO_2017__51_1_261_0,
author = {Bonnet, \'Edouard and Paschos, Vangelis Th.},
title = {Dual parameterization and parameterized approximability of subset graph problems},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {261--266},
publisher = {EDP-Sciences},
volume = {51},
number = {1},
year = {2017},
doi = {10.1051/ro/2016018},
zbl = {1362.68290},
mrnumber = {3605903},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2016018/}
}
TY - JOUR AU - Bonnet, Édouard AU - Paschos, Vangelis Th. TI - Dual parameterization and parameterized approximability of subset graph problems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2017 SP - 261 EP - 266 VL - 51 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2016018/ DO - 10.1051/ro/2016018 LA - en ID - RO_2017__51_1_261_0 ER -
%0 Journal Article %A Bonnet, Édouard %A Paschos, Vangelis Th. %T Dual parameterization and parameterized approximability of subset graph problems %J RAIRO - Operations Research - Recherche Opérationnelle %D 2017 %P 261-266 %V 51 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2016018/ %R 10.1051/ro/2016018 %G en %F RO_2017__51_1_261_0
Bonnet, Édouard; Paschos, Vangelis Th. Dual parameterization and parameterized approximability of subset graph problems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 1, pp. 261-266. doi : 10.1051/ro/2016018. http://archive.numdam.org/articles/10.1051/ro/2016018/
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