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Selecting a submatrix of a binary matrix NP hard?

Your problem is NP-hard. In particular, it is equivalent to maximum edge weight biclique problem (MWBP), which is known to be NP-hard. Maximum edge weight biclique MWBP is the following problem: ...
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Densest Sub Graph and forbidden Pairs

The problem is NP-hard. (It is at least as hard as maximum independent set, which can be seen by setting $G$ to be the fully connected graph.) Therefore, a reasonable approach is to use an off-the-...
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