On the existence of polynomial-time approximation schemes for the reoptimization of discrete optimization problems |
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Authors: | V. A. Mikhailyuk |
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Affiliation: | 1.V. M. Glushkov Institute of Cybernetics,National Academy of Sciences of Ukraine,Kyiv,Ukraine |
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Abstract: | It is shown that no polynomial-time approximation scheme exists for the reoptimization of the set covering problem in inserting an element into or eliminating it from any set. A similar result is obtained for the minimum graph coloring problem in inserting a vertex with at most two incidence edges and for the minimal bin packing problem in eliminating any element. |
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