Intractability of approximate multi-dimensional nonlinear optimization on independence systems

Abstract

We consider optimization of nonlinear objective functions that balance d linear criteria over n-element independence systems presented by linear-optimization oracles. For d = 1, we have previously shown that an r-best approximate solution can be found in polynomial time. Here, using an extended Erdős–Ko–Rado theorem of Frankl, we show that for d = 2… (More)

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