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arXiv · 1307.5582

Random Rates for 0-Extension and Low-Diameter Decompositions

Anupam Gupta·Kunal Talwar
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Abstract

Consider the problem of partitioning an arbitrary metric space into pieces of diameter at most Δ, such every pair of points is separated with relatively low probability. We propose a rate-based algorithm inspired by multiplicatively-weighted Voronoi diagrams, and prove it has optimal trade-offs. This also gives us another logarithmic approximation algorithm for the 0-extension problem.

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Anupam Gupta, Kunal Talwar. 2013-07-22. Random Rates for 0-Extension and Low-Diameter Decompositions. https://arxiv.org/abs/1307.5582

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