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» The online set cover problem
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SODA
2004
ACM
144views Algorithms» more  SODA 2004»
14 years 11 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 1 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...
COMPGEOM
2006
ACM
15 years 3 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...
CORR
2004
Springer
103views Education» more  CORR 2004»
14 years 9 months ago
Online convex optimization in the bandit setting: gradient descent without a gradient
We study a general online convex optimization problem. We have a convex set S and an unknown sequence of cost functions c1, c2, . . . , and in each period, we choose a feasible po...
Abraham Flaxman, Adam Tauman Kalai, H. Brendan McM...
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ICRA
2005
IEEE
113views Robotics» more  ICRA 2005»
15 years 3 months ago
A Sample-based Convex Cover for Rapidly Finding an Object in a 3-D Environment
— In this paper we address the problem of generating a motion strategy to find an object in a known 3-D environment as quickly as possible on average. We use a sampling scheme t...
Alejandro Sarmiento, Rafael Murrieta-Cid, Seth Hut...