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» The Set Cover with Pairs Problem
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SODA
2004
ACM
144views Algorithms» more  SODA 2004»
15 years 2 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
15 years 4 months ago
Constant-Factor Approximation for Minimum-Weight (Connected) Dominating Sets in Unit Disk Graphs
For a given graph with weighted vertices, the goal of the minimum-weight dominating set problem is to compute a vertex subset of smallest weight such that each vertex of the graph...
Christoph Ambühl, Thomas Erlebach, Matú...
103
Voted
COMPGEOM
2006
ACM
15 years 6 months ago
Algorithms for two-box covering
We study the problem of covering a set of points or polyhedra in 3 with two axis-aligned boxes in order to minimize a function of the measures of the two boxes, such as the sum or...
Esther M. Arkin, Gill Barequet, Joseph S. B. Mitch...
91
Voted
SWAT
2004
Springer
78views Algorithms» more  SWAT 2004»
15 years 6 months ago
Online Maintenance of k-Medians and k-Covers on a Line
The standard dynamic programming solution to finding k-medians on a line with n nodes requires O(kn2 ) time. Dynamic programming speedup techniques, e.g., use of the quadrangle i...
Rudolf Fleischer, Mordecai J. Golin, Yan Zhang
119
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NETWORKS
2007
15 years 5 days ago
Vertex disjoint routings of cycles over tori
We study the problem of designing a survivable WDM network based on covering the communication requests with subnetworks that are protected independently from each other. We consi...
Jean-Claude Bermond, Min-Li Yu