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The metric 2-clustering problem is defined as follows: given a metric (or weighted graph) (X, d), partition X into two sets S (1) and S (2) in order to minimize the value of /spl Sigma//sub i//spl Sigma//sub u, v/spl sub/S (i) /d (u, v). In this paper, we show an approximation scheme for this problem.
Piotr Indyk (Mon,) studied this question.