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FOCS
2002
IEEE
13 years 9 months ago
A Constant-Factor Approximation Algorithm for the Multicommodity
We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
Amit Kumar, Anupam Gupta, Tim Roughgarden
APPROX
2006
Springer
234views Algorithms» more  APPROX 2006»
13 years 8 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...
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 2 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
ECML
2006
Springer
13 years 8 months ago
Constant Rate Approximate Maximum Margin Algorithms
We present a new class of perceptron-like algorithms with margin in which the "effective" learning rate, defined as the ratio of the learning rate to the length of the we...
Petroula Tsampouka, John Shawe-Taylor
FOCS
2006
IEEE
13 years 10 months ago
Approximation algorithms for allocation problems: Improving the factor of 1 - 1/e
Combinatorial allocation problems require allocating items to players in a way that maximizes the total utility. Two such problems received attention recently, and were addressed ...
Uriel Feige, Jan Vondrák