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cs.DS2026
A Better-than-2 Approximation for k-Median Part I: The Power of General Bids
Rares-Darius Buhai, Vincent Cohen-Addad, Henry Fleischmann +6
The Greedy algorithm of Jain, Mahdian, Markakis, Saberi, and Vazirani was the best Lagrangian-multiplier-preserving (LMP) approximation algorithm for facility location, and thus th…
cs.DS2026
A Better-than- Approximation for -Median Part II: Stable Instances
Rares-Darius Buhai, Vincent Cohen-Addad, Henry Fleischmann +6
We consider the -median problem on general metric spaces, subject to the condition that the instances are -stable (i.e., the optimal solution using centers has a cost a…