A Technical Report on PLS-Completeness of Single-Swap for Unweighted Metric Facility Location and $K$-Means

Sascha Brauer

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arXiv · 1704.05641

A Technical Report on PLS-Completeness of Single-Swap for Unweighted Metric Facility Location and $K$-Means

Sascha Brauer

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Abstract

Recently, [Bra17] showed that the single-swap heuristic for weighted metric uncapacitated facility location and $K$-Means is tightly PLS-complete. We build upon this work and present a stronger reduction, which proves tight PLS-completeness for the unweighted version of both problems.

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Sascha Brauer. 2017-04-19. A Technical Report on PLS-Completeness of Single-Swap for Unweighted Metric Facility Location and $K$-Means. https://arxiv.org/abs/1704.05641

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