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Posted by sunmoonstar_love at 2005-08-03 01:37:25
In Reply To:一起匹配然后除2,为什么不行?我看很多匹配都是这么做的 Posted by:sunmoonstar_love at 2005-08-03 01:20:57
存在一个最优匹配M将2n个奇数度的点分成两部分n1,n2,

那么其逆匹配M'也可将2n个奇数度的点分成两部分n2,n1;

那么将这两个匹配M与M'合在一起新的匹配P,那么就是分成n1+n2,n2+n1两部分

这个P也就一定是我直接用 maximum-weight matching  得到的结果了,

因为最优加最优(在这个问题中)还是最优的

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