consider the problem of finding a minimum Pareto optimal matching. Let MIN-POM denote the problem deciding, given an instance I of POM and an integer K, whether I admits a Pareto optimal matching of size at most K.firstly prove that MIN-POM is NP-complete via a reduction from MMM, which is the problem of deciding, given a graph G and an integer K, whether G admits a maximal matching of size at most K

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