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arXiv · 2409.16168

A Simple Distributed Algorithm for Sparse Fractional Covering and Packing Problems

Qian Li·Minghui Ouyang·Yuyi Wang
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Abstract

This paper presents a distributed algorithm in the CONGEST model that achieves a $(1+\epsilon)$-approximation for row-sparse fractional covering problems (RS-FCP) and the dual column-sparse fraction packing problems (CS-FPP). Compared with the best-known $(1+\epsilon)$-approximation CONGEST algorithm for RS-FCP/CS-FPP developed by Kuhn, Moscibroda, and Wattenhofer (SODA'06), our algorithm is not only much simpler but also significantly improves the dependency on $\epsilon$.

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Qian Li, Minghui Ouyang, Yuyi Wang. 2024-09-24. A Simple Distributed Algorithm for Sparse Fractional Covering and Packing Problems. https://arxiv.org/abs/2409.16168

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