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A Simple Distributed Algorithm for Sparse Fractional Covering and Packing Problems
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A Simple Distributed Algorithm for Sparse Fractional Covering and Packing Problems

Authors Qian Li , Minghui Ouyang , Yuyi Wang

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Subject Classification

ACM Subject Classification
  • Theory of computation → Distributed algorithms
Keywords
  • CONGEST model
  • row-sparse fractional covering
  • column-sparse fractional packing
  • positive linear programming
  • simple algorithms

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Abstract

This paper presents a distributed algorithm in the CONGEST model that achieves a (1+ε)-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+ε)-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 ε.

Cite As Get BibTex

Qian Li, Minghui Ouyang, and Yuyi Wang. A Simple Distributed Algorithm for Sparse Fractional Covering and Packing Problems. In 35th International Symposium on Algorithms and Computation (ISAAC 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 322, pp. 45:1-45:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024) https://doi.org/10.4230/LIPIcs.ISAAC.2024.45

Author Details

Qian Li
  • Shenzhen International Center For Industrial And Applied Mathematics, Shenzhen Research Institute of Big Data, China
Minghui Ouyang
  • School of Mathematical Sciences, Peking University, Beijing, China
Yuyi Wang
  • Lambda Lab, China Railway Rolling Stock Corporation Zhuzhou Institute, China

Funding

Qian Li’s work is supported by the National Key R&D Program of China under Grant 2022YFA1003900, the Hetao Shenzhen-Hong Kong Science and Technology Innovation Cooperation Zone Project (No.HZQSWS-KCCYB-2024016), and the National Natural Science Foundation of China Grants No.62002229. Minghui Ouyang’s work is supported in part by the National Natural Science Foundation of China Grants No.62002229. Yuyi Wang’s work is supported by the Natural Science Foundation of Hunan Province 2024JJ5128.

References

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  2. Baruch Awerbuch and Rohit Khandekar. Stateless distributed gradient descent for positive linear programs. SIAM J. Comput., 38(6):2468-2486, 2009. URL: https://doi.org/10.1137/080717651.
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