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ICALP
1999
Springer

Stable Marriage with Incomplete Lists and Ties

10 years 5 months ago
Stable Marriage with Incomplete Lists and Ties
The original stable marriage problem requires all men and women to submit a complete and strictly ordered preference list. This is obviously often unrealistic in practice, and several relaxations have been proposed, including the following two common ones: one is to allow an incomplete list, i.e., a man is permitted to accept only a subset of the women and vice versa. The other is to allow a preference list including ties. Fortunately, it is known that both relaxed problems can still be solved in polynomial time. In this paper, we show that the situation changes substantially if we allow both relaxations (incomplete lists and ties) at the same time: the problem not only becomes NP-hard, but also the optimal cost version has no approximation algorithm achieving the approximation ratio of N1− , where N is the instance size, unless P=NP.
Kazuo Iwama, David Manlove, Shuichi Miyazaki, Yasu
Added 04 Aug 2010
Updated 04 Aug 2010
Type Conference
Year 1999
Where ICALP
Authors Kazuo Iwama, David Manlove, Shuichi Miyazaki, Yasufumi Morita
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