In this paper, we study the fault-tolerant matroid median and fault-tolerant knapsack median problems. These two problems generalize many fundamental clustering and facility location problems, such as uniform fault-tolerant k-median, uniform fault-tolerant facility location, matroid median, knapsack median, etc. We present a versatile iterative rounding framework and obtain a unifying constant-factor approximation algorithm.
@article{arxiv.2205.04744,
title = {Constant approximation for fault-tolerant median problems via iterative rounding},
author = {Shichuan Deng},
journal= {arXiv preprint arXiv:2205.04744},
year = {2022}
}