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Note on prime representations of convex polyhedral sets

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Abstract

Consider a convex polyhedral set represented by a system of linear inequalities. A prime representation of the polyhedron is one that contains no redundant constraints. We present a sharp upper bound on the difference between the cardinalities of any two primes.

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References

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Communicated by D. F. Shanno

This research was supported by the Natural Sciences and Engineering Research Council of Canada under Grant Nos. A8807, A4625, and A7742.

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Boneh, A., Caron, R.J., Lemire, F.W. et al. Note on prime representations of convex polyhedral sets. J Optim Theory Appl 61, 137–142 (1989). https://doi.org/10.1007/BF00940849

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