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- W2559584927 abstract "We consider the strongly NP-hard problem of partitioning a set of Euclidean points into two clusters so as to minimize the sum (over both clusters) of the weighted sum of the squared intracluster distances from the elements of the clusters to their centers. The weights of sums are the cardinalities of the clusters. The center of one of the clusters is given as input, while the center of the other cluster is unknown and determined as the geometric center (centroid), i.e. the average value over all points in the cluster. We analyze the variant of the problem with cardinality constraints. We present an approximation algorithm for the problem and prove that it is a fully polynomial-time approximation scheme when the space dimension is bounded by a constant." @default.
- W2559584927 created "2016-12-08" @default.
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- W2559584927 date "2016-01-01" @default.
- W2559584927 modified "2023-10-02" @default.
- W2559584927 title "A Fully Polynomial-Time Approximation Scheme for a Special Case of a Balanced 2-Clustering Problem" @default.
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- W2559584927 doi "https://doi.org/10.1007/978-3-319-44914-2_15" @default.
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