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Re:关于最小生成树的最长边为所求的证明

Posted by ryx at 2015-05-09 11:09:37 on Problem 2485
In Reply To:关于最小生成树的最长边为所求的证明 Posted by:1120121860 at 2013-08-07 10:54:00
关键的地方在于第一步:
“最小生成树T的最长边(u,v)小于等于任一生成树T的最长边”
更关键的在于等于的情况,也就是说可能存在另外一个生成树,
它不是最小生成树,
但它最长边等于最小生成树的最长边。

最小生成树一定是本题的解,但本题的解不一定只包括最小生成树。
这样本题就可能存在比最小生成树更快的解法

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