On the Number of Violator Spaces


We estimate the number of violator spaces of given dimension d and number of constraints n. We show that the number of nondegenerate regular violator spaces is at most n d , and that the number of all violator spaces is at least of order exp(n). This is related to the question whether the class of optimization problems described by violator spaces (or LP-type problems) is more general than linear programming.

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@inproceedings{Skovron2005OnTN, title={On the Number of Violator Spaces}, author={Petr Skovron}, year={2005} }