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The partial inverse minimum cut problem is to minimally
modify the capacities of a digraph such that
there exists a minimum cut with respect to the new capacities that
contains all arcs of a prespecified set. Orlin showed that the problem is
strongly NP-hard if the amount of
modification is measured by the weighted
-norm. We prove that the problem
remains hard for the unweighted case and show that the
NP-hardness proof of Yang [
(2001) 117–126] for this problem...
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