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» Approximation Algorithms for Spreading Points
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SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 9 months ago
Smaller core-sets for balls
We prove the existence of small core-sets for solving approximate k-center clustering and related problems. The size of these core-sets is considerably smaller than the previously...
Mihai Badoiu, Kenneth L. Clarkson
COMPGEOM
2004
ACM
14 years 1 months ago
Deformable spanners and applications
For a set S of points in Rd, an s-spanner is a graph on S such that any pair of points is connected via some path in the spanner whose total length is at most s times the Euclidea...
Jie Gao, Leonidas J. Guibas, An Nguyen
COLOGNETWENTE
2008
13 years 9 months ago
A Simple 3-Approximation of Minimum Manhattan Networks
Given a set P of n points in the plane, a Manhattan network of P is a network that contains a rectilinear shortest path between every pair of points of P. A minimum Manhattan netw...
Bernhard Fuchs, Anna Schulze
APPROX
2004
Springer
165views Algorithms» more  APPROX 2004»
14 years 1 months ago
Approximating Additive Distortion of Embeddings into Line Metrics
We consider the problem of fitting metric data on n points to a path (line) metric. Our objective is to minimize the total additive distortion of this mapping. The total additive ...
Kedar Dhamdhere
STOC
2009
ACM
136views Algorithms» more  STOC 2009»
14 years 8 months ago
Random walks on polytopes and an affine interior point method for linear programming
Let K be a polytope in Rn defined by m linear inequalities. We give a new Markov Chain algorithm to draw a nearly uniform sample from K. The underlying Markov Chain is the first t...
Ravi Kannan, Hariharan Narayanan