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The Cartographer
A Simple Distributed Algorithm for Sparse Fractional Covering and Packing Problems
September 24, 2024 Β· Declared Dead Β· π International Symposium on Algorithms and Computation
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Authors
Qian Li, Minghui Ouyang, Yuyi Wang
arXiv ID
2409.16168
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.DC
Citations
0
Venue
International Symposium on Algorithms and Computation
Last Checked
5 months ago
Abstract
This paper presents a distributed algorithm in the CONGEST model that achieves a $(1+Ξ΅)$-approximation for row-sparse fractional covering problems (RS-FCP) and the dual column-sparse fraction packing problems (CS-FPP). Compared with the best-known $(1+Ξ΅)$-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 $Ξ΅$.
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