Salvatore Certo, Anh Pham, et al.
Quantum Machine Intelligence
The stable marriage problem has recently been studied in its general setting, where both ties and incomplete lists are allowed. It is NP-hard to find a stable matching of maximum size, while any stable matching is a maximal matching and thus trivially we can obtain a 2-approximation algorithm. In this article, we give the first nontrivial result for approximation of factor less than two. Our algorithm achieves an approximation ratio of 2/(1 + L -2) for instances in which only men have ties of length at most L. When both men and women are allowed to have ties but the lengths are limited to two, then we show a ratio of 13/7(<1.858). We also improve the lower bound on the approximation ratio to 21/19(>1.1052). © 2007 ACM.
Salvatore Certo, Anh Pham, et al.
Quantum Machine Intelligence
Harpreet S. Sawhney
IS&T/SPIE Electronic Imaging 1994
Arnon Amir, Michael Lindenbaum
IEEE Transactions on Pattern Analysis and Machine Intelligence
Moutaz Fakhry, Yuri Granik, et al.
SPIE Photomask Technology + EUV Lithography 2011