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Breaching the 2 LMP Approximation Barrier for Facility Location with Applications to k-Median

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cs.DS 1

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2026 1

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UNVERDICTED 1

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An Improved Greedy Approximation for (Metric) $k$-Means

cs.DS · 2026-05-27 · unverdicted · novelty 7.0

A (3 + 2√2 + ε)-approximation for metric k-means obtained by adapting the greedy LMP 2-approximation for facility location to squared distances and combining it with a recent framework.

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  • An Improved Greedy Approximation for (Metric) $k$-Means cs.DS · 2026-05-27 · unverdicted · none · ref 4

    A (3 + 2√2 + ε)-approximation for metric k-means obtained by adapting the greedy LMP 2-approximation for facility location to squared distances and combining it with a recent framework.