Augmenting Trees to Meet Biconnectivity and Diameter Constraints

@article{Chepoi2001AugmentingTT,
  title={Augmenting Trees to Meet Biconnectivity and Diameter Constraints},
  author={Victor Chepoi and Yann Vax{\`e}s},
  journal={Algorithmica},
  year={2001},
  volume={33},
  pages={243-262}
}
Given a graph G=(V,E) and a positive integer D , we consider the problem of finding a minimum number of new edges E' such that the augmented graph G'=(V,E\cup E') is biconnected and has diameter no greater than D. In this note we show that this problem is NP-hard for all fixed D , by employing a reduction from the DOMINATING SET problem. We prove that the problem remains NP-hard even for forests and trees, but in this case we present approximation algorithms with worst-case bounds 3 (for even D… CONTINUE READING
Highly Cited
This paper has 55 citations. REVIEW CITATIONS
32 Citations
17 References
Similar Papers

Citations

Publications citing this paper.
Showing 1-10 of 32 extracted citations

55 Citations

0510'07'10'13'16
Citations per Year
Semantic Scholar estimates that this publication has 55 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 17 references

Location on tree networks : pcenter and qdispersion problems , Math

  • A. Daughety
  • Discrete Appl . Math .
  • 1998

Approximation algorithms for finding highly connected subgraphs, in Approximation Algorithms for NP-Hard Problems(D

  • S. Khuller
  • S. Hochbaum, ed.),
  • 1997
1 Excerpt

Efficient multiprover interactive proofs with applications to approximation problems

  • S. Goldwasser M. Bellare, C. Lund, A. Russell
  • Proc . 29 th ACM Symp . on Theory of Computing
  • 1997

Efficient multi-prover interactive proofs with applications to approximation problems, in

  • M. Bellare, S. Goldwasser, C. Lund, A. Russell
  • Proc. 25th ACM Symp . on Theory of Computing…
  • 1993
1 Excerpt

Simchi–Levi, On the minimum-cardinality-bounded-diameter and the bounded-cardinality-minimum-diameter edge addition problems, Oper

  • Ch.-L. Li, S. Th. McCormick
  • Res. Lett
  • 1992
2 Excerpts

Similar Papers

Loading similar papers…