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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 approximation algorithm achieves the approximation ratio link.lib.tsinghua.edu.cn/media/images/contributions/7/0/6/8/70686788721N21Q4_html/MediaObjects/InlineFigure2.png" alt="MediaObjects/InlineFigure2.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/images/contributions/7/0/6/8/70686788721N21Q4_html/MediaObjects/InlineFigure3.png" alt="MediaObjects/InlineFigure3.png" align="middle">, where c is a constant such that link.lib.tsinghua.edu.cn/media/images/contributions/7/0/6/8/70686788721N21Q4_html/MediaObjects/InlineFigure4.png" alt="MediaObjects/InlineFigure4.png" align="middle">.

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