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.The concept of reoptimization [1-7] is as follows. Let Ï be some NP-hard (or, possibly, NP-complete) problem, and let I be the initial instance of th… Show more
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