A Survey of Approximately Optimal Solutions to Some Covering and Packing Problems

@article{Paschos1997ASO,
  title={A Survey of Approximately Optimal Solutions to Some Covering and Packing Problems},
  author={Vangelis Th. Paschos},
  journal={ACM Comput. Surv.},
  year={1997},
  volume={29},
  pages={171-209}
}
We survey approximation algorithms for some well-known and very natural combinatorial optimization problems, the minimum set covering, the minimum vertex covering, the maximum set packing, and maximum independent set problems; we discuss their approximation performance and their complexity. For already known results, any time we have conceived simpler proofs than those already published, we give these proofs, and, for the rest, we cite the simpler published ones. Finally, we discuss how one can… CONTINUE READING
Highly Cited
This paper has 110 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
69 Citations
20 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 69 extracted citations

111 Citations

0510'97'02'08'14
Citations per Year
Semantic Scholar estimates that this publication has 111 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 20 references

Graph Algorithms

  • S. EVEN
  • Computer Science Press, New York.
  • 1979
Highly Influential
10 Excerpts

Valeurs extrémales d’un problème d’optimisation combinatoire et approximation polynomiale

  • M. DEMANGE, V. T. PASCHOS
  • Mathématiques, Informatiques et Sciences Humaines…
  • 1995
Highly Influential
20 Excerpts

Approximation algorithms for NP-complete problems on planar graphs

  • B. S. BAKER
  • J. ACM 41, 1, 153–180.
  • 1994
Highly Influential
6 Excerpts

Notes de cours en optimisation combinatoire

  • V. T. PASCHOS
  • DEA “Méthodes Scientifiques de Gestion…
  • 1993
Highly Influential
5 Excerpts

A localratio theorem for approximating the weighted vertex cover problem

  • R. BAR-YEHUDA, S. EVEN
  • Ann. Discr. Appl. Math. 25, 27–46.
  • 1985
Highly Influential
8 Excerpts

Node-weighted graphs having the König-Egervary property

  • BOURJOLLY, J.-M., P. L. HAMMER, B. SIMEONE
  • Math. Prog. Study 22, 44–63.
  • 1984
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…