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It is shown that the decision problem regarding the membership of a point in the capacity region of a packet radio network is nondeterministic polynomial time hard (NP hard). The capacity region is the set of all feasible origin-to-destination message rates where feasibility is defined as the existence of any set of rules for moving the data through the network so that the desired rates are satisfied.
Erdal Arıkan (Sun,) studied this question.
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