Abstract
The <e1>k</e1>-cut problem is to find a partition of an edge weighted graph into <e1>k</e1> nonempty components, such that the total edge weight between components is minimum. This problem is NP-complete for arbitrary <e1>k</e1> and its version involving fixing a vertex in each component is NP hard even for <e1>k</e1>=3. A polynomial algorithm for the case of a fixed <e1>k</e1> is presented
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