On ultrametric $1$-median selection

September 05, 2019 · Declared Dead · 🏛 Theoretical Computer Science

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Authors Ching-Lueh Chang arXiv ID 1909.02400 Category cs.DS: Data Structures & Algorithms Citations 0 Venue Theoretical Computer Science Last Checked 5 months ago
Abstract
Consider the problem of finding a point in an ultrametric space with the minimum average distance to all points. We give this problem a Monte Carlo $O((\log^2(1/ε))/ε^3)$-time $(1+ε)$-approximation algorithm for all $ε>0$.
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