We consider the problem of finding a stable
matching of
maximum size when both ties and unacceptable partners are allowed in preference lists. This problem is NP-hard and the current best known approxi
mation algorithm achieves the approxi
mation ratio
link.lib.tsinghua.edu.cn/media/i
mages/contributions/7/0/6/8/70686788721N21Q4_html/MediaObjects/In
lineFigure2.png" alt="MediaObjects/In
lineFigure2.png" align="middle">, where
c is an arbitrary positive constant and
N is the number of men in an input. In this paper, we improve the ratio to
link.lib.tsinghua.edu.cn/media/i
mages/contributions/7/0/6/8/70686788721N21Q4_html/MediaObjects/In
lineFigure3.png" alt="MediaObjects/In
lineFigure3.png" align="middle">, where
c is a constant such that
link.lib.tsinghua.edu.cn/media/i
mages/contributions/7/0/6/8/70686788721N21Q4_html/MediaObjects/In
lineFigure4.png" alt="MediaObjects/In
lineFigure4.png" align="middle">.