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This is called the Dominating Set problem, and it is indeed NP-hard. In fact, it's in some sense harder than Vertex Cover, since it's notnot fixed parameter tractable (FPT) with respect to the solution size $k$.
This is called the Dominating Set problem, and it is indeed NP-hard. In fact, it's in some sense harder than Vertex Cover, since it's not fixed parameter tractable (FPT).
This is called the Dominating Set problem, and it is indeed NP-hard. In fact, it's in some sense harder than Vertex Cover, since it's not fixed parameter tractable (FPT) with respect to the solution size $k$.
This is called the Dominating Set problem, and it is indeed NP-hard. In fact, it's in some sense harder than Vertex Cover, since it's not fixed parameter tractable (FPT).