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An analysis of the greedy algorithm for the submodular set covering problem

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  • WOLSEY, L.A.

Abstract

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Suggested Citation

  • Wolsey, L.A., 1982. "An analysis of the greedy algorithm for the submodular set covering problem," LIDAM Reprints CORE 519, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:519
    DOI: 10.1007/BF02579435
    Note: In : Combinatorica, 2(4), 385-393, 1982
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    Cited by:

    1. Weidong Chen & Hao Zhong & Lidong Wu & Ding-Zhu Du, 2022. "A general greedy approximation algorithm for finding minimum positive influence dominating sets in social networks," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 1-20, August.
    2. Majun Shi & Zishen Yang & Wei Wang, 2023. "Greedy guarantees for minimum submodular cost submodular/non-submodular cover problem," Journal of Combinatorial Optimization, Springer, vol. 45(1), pages 1-16, January.
    3. Shi, Majun & Yang, Zishen & Wang, Wei, 2021. "Minimum non-submodular cover problem with applications," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    4. Alfredo Torrico & Mohit Singh & Sebastian Pokutta & Nika Haghtalab & Joseph (Seffi) Naor & Nima Anari, 2021. "Structured Robust Submodular Maximization: Offline and Online Algorithms," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1590-1607, October.
    5. Dongyue Liang & Zhao Zhang & Xianliang Liu & Wei Wang & Yaolin Jiang, 2016. "Approximation algorithms for minimum weight partial connected set cover problem," Journal of Combinatorial Optimization, Springer, vol. 31(2), pages 696-712, February.
    6. G. Calinescu & A. Zelikovsky, 2005. "The Polymatroid Steiner Problems," Journal of Combinatorial Optimization, Springer, vol. 9(3), pages 281-294, May.
    7. Dana Angluin & James Aspnes & Lev Reyzin, 2015. "Network construction with subgraph connectivity constraints," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 418-432, February.
    8. Liao, Hao & Wu, Xingtong & Wang, Bing-Hong & Wu, Xiangyang & Zhou, Mingyang, 2019. "Solving the speed and accuracy of box-covering problem in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 954-963.
    9. Fatemeh Navidi & Prabhanjan Kambadur & Viswanath Nagarajan, 2020. "Adaptive Submodular Ranking and Routing," Operations Research, INFORMS, vol. 68(3), pages 856-877, May.
    10. Chandra Chekuri & Tanmay Inamdar & Kent Quanrud & Kasturi Varadarajan & Zhao Zhang, 2022. "Algorithms for covering multiple submodular constraints and applications," Journal of Combinatorial Optimization, Springer, vol. 44(2), pages 979-1010, September.
    11. Ran, Yingli & Zhang, Ying & Zhang, Zhao, 2021. "Parallel approximation for partial set cover," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    12. Xu Zhu & Jieun Yu & Wonjun Lee & Donghyun Kim & Shan Shan & Ding-Zhu Du, 2010. "New dominating sets in social networks," Journal of Global Optimization, Springer, vol. 48(4), pages 633-642, December.

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