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NP-completeness proof

yzhua3
in Homework Help

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In my problem each node is associated with some metric. At each step only a subset of edges are candidates for contracting or merging. Contracting one edge may affect the subset of edges that are legal for contracting at next step. By contracting one edge, we also replace the metrics of the two endpoint nodes with a new smaller metric. We are trying to find an H such that the sum of the metrics of nodes in H is minimal

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