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Given positive integer $k$ and an undirected graph $(V,E)$, with nonnegative (non-uniform) weights on the nodes. Find $k$ edges whose spanning nodes have the maximum weight.

Is this in P or NP? I tend to believe this has been studied before but could not find a reference.

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Is this homework? – Brendan McKay Oct 4 '13 at 10:38
    
no, it's not. A question from a friend. – yaoliang Oct 5 '13 at 5:25

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