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Improved Approximation Algorithms for Network Design Problems  (Make Corrections)  (46 citations)
M.X. Goemans, A.V. Goldberg, S.A. Plotkin, D.B. Shmoys, E. Tardos, D.P. Williamson
Symposium on Discrete Algorithms



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Abstract: We consider a class of network design problems in which one needs to find a minimum-cost network satisfying certain connectivity requirements. For example, in the survivable network design problem, the requirements specify that there should be at least r(v; w) edge-disjoint paths between each pair of vertices v and w. We present an approximation algorithm with a performance guarantee of 2H(fmax ) = 2(1 + 2 + 3 + \Delta \Delta \Delta + fmax ) where fmax is the maximum requirement. This ... (Update)

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BibTeX entry:   (Update)

M.X. Goemans, A. Goldberg, S. Plotkin, D. Shmoys, E. Tardos, and D.P. Williamson, Improved Approximation Algorithms for Network Design Problems, SODA '94, pp. 223--232. http://citeseer.ist.psu.edu/637599.html   More

@inproceedings{ goemans94improved,
    author = "Michel X. Goemans and Andrew V. Goldberg and Serge A. Plotkin and David B. Shmoys and Eva Tardos and David P. Williamson",
    title = "Improved Approximation Algorithms for Network Design Problems",
    booktitle = "Symposium on Discrete Algorithms",
    pages = "223-232",
    year = "1994",
    url = "citeseer.ist.psu.edu/637599.html" }
Citations (may not include all citations):
333   Geometric Algorithm and Combinatorial Optimization (context) - Grotschel, Lov'asz et al. - 1988
160   A general approximation technique for constrained forest pro.. - Goemans, Williamson - 1995
79   When trees collide: An approximation algorithm for the gener.. - Agrawal, Klein et al. - 1995
67   A new algorithm for minimizing convex functions over convex .. (context) - Vaidya - 1989
61   A primal-dual approximation algorithm for generalized Steine.. (context) - Williamson, Goemans et al. - 1995
32   Network design and transportation planning: Models and algor.. (context) - Magnanti, Wong - 1984
28   An efficient approximation algorithm for the survivable netw.. - Gabow, Goemans et al. - 1993
27   When cycles collapse: A general approximation technique for .. - Klein, Ravi - 1993
14   the structure of all minimum cuts in a network and applicati.. (context) - Picard, Queyranne - 1980
12   linear programming relaxations and the parsimonious property (context) - Goemans, Bertsimas - 1993
11   the design of approximation algorithms for a class of graphs.. (context) - Williamson - 1993
8   A scaling technique for better network design (context) - Aggarwal, Garg - 1994
3   Preserving and increasing local edge-connectivity in mixed g.. (context) - Bang-Jensen, Frank et al. - 1995
2   Blocking small cuts in a network (context) - Bienstock, Diaz - 1993



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