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Ben Barber
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I wonder whether the following problem is a well-studied NP-hard problem?

Get a graph G$G$ and a number k$k$, we partition the graph G$G$ into two components where each component should have at most k$k$ vertices and the number of edges in the cut is minimal.

In other words, is the mini-cut problem with the vertex budget constraint NP-hard?In other words, is the mini-cut problem with the vertex budget constraint NP-hard?

Thanks.

I wonder whether the following problem is a well-studied NP-hard problem?

Get a graph G and a number k, we partition the graph G into two components where each component should have at most k vertices and the number of edges in the cut is minimal.

In other words, is the mini-cut problem with the vertex budget constraint NP-hard?

Thanks.

I wonder whether the following problem is a well-studied NP-hard problem?

Get a graph $G$ and a number $k$, we partition the graph $G$ into two components where each component should have at most $k$ vertices and the number of edges in the cut is minimal.

In other words, is the mini-cut problem with the vertex budget constraint NP-hard?

Thanks.

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Polaris
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Is the graph minicut with the node cardinality constraint NP-hard?

I wonder whether the following problem is a well-studied NP-hard problem?

Get a graph G and a number k, we partition the graph G into two components where each component should have at most k vertices and the number of edges in the cut is minimal.

In other words, is the mini-cut problem with the vertex budget constraint NP-hard?

Thanks.