Encyclopedia of Algorithms

2008 Edition
| Editors: Ming-Yang Kao

Greedy Set-Cover Algorithms

1974–1979; Chvátal, Johnson, Lovász, Stein
  • Neal E. Young
Reference work entry
DOI: https://doi.org/10.1007/978-0-387-30162-4_175

Keywords and Synonyms

Dominating set; Greedy algorithm; Hitting set; Set cover ; Minimizing a linear function subject to a submodular constraint          

Problem Definition

Given a collection \( { \mathcal{S} } \)

Keywords

Greedy Algorithm Approximation Ratio Facility Location Problem Submodular Function Good Approximation Ratio 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Recommended Reading

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    Brönnimann, H., Goodrich, M.T.: Almost optimal set covers in finite VC-dimension. Discret. Comput. Geom. 14(4), 463–479 (1995)MATHCrossRefGoogle Scholar
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    Chvátal, V.: A greedy heuristic for the set-covering problem. Math. Oper. Res. 4(3), 233–235 (1979)MathSciNetMATHCrossRefGoogle Scholar
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    Lovász, L.: On the ratio of optimal integral and fractional covers. Discret. Math. 13, 383–390 (1975)MATHCrossRefGoogle Scholar
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    Slavik, P.: A tight analysis of the greedy algorithm for set cover. J. Algorithms 25(2), 237–254 (1997)MathSciNetMATHCrossRefGoogle Scholar
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    Srinivasan, A.: Improved approximations of packing and covering problems. In: Proceedings of the twenty-seventh annual ACM Symposium on Theory of Computing, pp. 268–276 (1995)Google Scholar
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    Stein, S.K.: Two combinatorial covering theorems. J. Comb. Theor. A 16, 391–397 (1974)MATHCrossRefGoogle Scholar
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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  • Neal E. Young
    • 1
  1. 1.Department of Computer ScienceUniversity of California at RiversideRiversideUSA