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ALGORITHMICA
2010

Parameterized Complexity and Local Search Approaches for the Stable Marriage Problem with Ties

10 years 1 months ago
Parameterized Complexity and Local Search Approaches for the Stable Marriage Problem with Ties
Abstract. We consider the variant of the classical Stable Marriage problem where preference lists can be incomplete and may contain ties. In such a setting, finding a stable matching of maximum size is NP-hard. We study the parameterized complexity of this problem, where the parameter can be the number of ties, the maximum or the overall length of ties. We also investigate the applicability of a local search algorithm for the problem. Finally, we examine the possibilities for giving an FPT algorithm or an FPT approximation algorithm for finding an egalitarian or a minimum regret matching.
Dániel Marx, Ildikó Schlotter
Added 08 Dec 2010
Updated 08 Dec 2010
Type Journal
Year 2010
Where ALGORITHMICA
Authors Dániel Marx, Ildikó Schlotter
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