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Improving Spanning Trees by Upgrading Nodes (1997)  (Make Corrections)  (7 citations)
S. O. Krumke, M. V. Marathe, H. Noltemeier, R. Ravi, S. S. Ravi, R. Sundaram, H. C. Wirth
Theoretical Computer Science



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Abstract: . We study budget constrained optimal network upgrading problems. We are given an edge weighted graph G = (V; E) where node v 2 V can be upgraded at a cost of c(v). This upgrade reduces the delay of each link emanating from v. The goal is to find a minimum cost set of nodes to be upgraded so that the resulting network has a good performance. We consider two performance measures, namely, the weight of a minimum spanning tree and the bottleneck weight of a minimum bottleneck spanning tree, and... (Update)

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...It is worth considering other related network improvement network design or location problems. As a step in this direction, in [16], we have considered node based network improvement problems and provided both hardness and approximation results for a number of such...

Cited by:   More
Modifying Edges of a Network to Obtain Short Subgraphs - Drangmeister, Krumke, al. (2000)   (Correct)
Improving Minimum Cost Spanning Trees by Upgrading Nodes - Krumke, Marathe..   (Correct)
Upgrading Bottleneck Constrained Forests - Krumke, Marathe, Noltemeier..   (Correct)

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0.4:   Node Weighted Network Upgrade Problems (Extended Abstract) - Krumke, Noltemeier.. (1997)   (Correct)
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0.4:   Modifying Edges of a Network to Obtain Short Subgroups - Drangmeister, Krumke.. (1996)   (Correct)
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7:   Improving The Location of Minisum Facilities Through Network Modification (context) - Berman - 1992
7:   The Network Inhibition Problem (context) - Phillips - 1993
5:   Network upgrading problems (context) - Paik, Sahni - 1995

BibTeX entry:   (Update)

S. O. Krumke, M. V. Marathe, H. Noltemeier, R. Ravi, S. S. Ravi, R. Sundaram, and H. C. Wirth, Improving Spanning Trees by Upgrading Nodes, Proceedings of the 24th International Colloquium on Automata, Languages and Programming (ICALP'97), Bologna, Italy, July 1997, pp. 281--291. http://citeseer.ist.psu.edu/article/krumke97improving.html   More

@article{ krumke99improving,
    author = "Sven O. Krumke and Hartmut Noltemeier and Hans-C. Wirth and Madhav V. Marathe and R. Ravi and S. S. Ravi and R. Sundaram",
    title = "Improving spanning trees by upgrading nodes",
    journal = "Theoretical Computer Science",
    volume = "221",
    number = "1--2",
    pages = "139--155",
    year = "1999",
    url = "citeseer.ist.psu.edu/article/krumke97improving.html" }
Citations (may not include all citations):
168   An Approximate Max-Flow Min-Cut Theorem for Uniform Multicom.. (context) - Leighton, Rao - 1988
47   Bicriteria Network Design Problems - Marathe, Ravi et al. - 1995
33   The Network Inhibition Problem (context) - Phillips - 1993
30   A threshold of ln n for approximating set cover - Feige - 1996
15   Increasing the Weight of Minimum Spanning Trees - Frederickson, Solis-Oba - 1996
13   Improving The Location of Minisum Facilities Through Network.. (context) - Berman - 1992
11   The Constrained Minimum Spanning Tree Problem (context) - Ravi, Goemans - 1996
8   Modifying Networks to Obtain Low Cost Trees - Krumke, Noltemeier et al. - 1996
8   Network Upgrading Problems (context) - Paik, Sahni - 1995
7   The Complexity of Designing a Network with Minimum Diameter (context) - Plesnik - 1981
3   Improving Steiner Trees of a Network Under Multiple Constrai.. - Krumke, Noltemeier et al. - 1996



The graph only includes citing articles where the year of publication is known.


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Compact Location Problems - Krumke, Marathe, Noltemeier.. (1997)   (Correct)
Complexity and Approximability of Certain Bicriteria .. - Krumke, Noltemeier, ..   (Correct)
Compact Location Problems (Extended Abstract) - Radhakrishnan, Krumke..   (Correct)

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