On the complexity of certain problems of choosing subset of vectors (Q2836761)

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scientific article; zbMATH DE number 6183582
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English
On the complexity of certain problems of choosing subset of vectors
scientific article; zbMATH DE number 6183582

    Statements

    3 July 2013
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    choice of subsequence of vectors
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    minimum of sum of square of distances
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    algorithmic complexity
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    NP-completeness
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    On the complexity of certain problems of choosing subset of vectors (English)
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    The NP-completeness is proved for some choices of subsequences of the vector sequence of some Euclidean space. The required subsequence is supposed to contain fixed number of vectors which are close each other with respect to the criterion of minimum of sums of distances. The choice of vectors is constrained.
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