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» Approximate earth mover's distance in linear time
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76
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COMPGEOM
2006
ACM
15 years 3 months ago
How to get close to the median shape
In this paper, we study the problem of L1-fitting a shape to a set of point, where the target is to minimize the sum of distances of the points to the shape, or alternatively the...
Sariel Har-Peled
89
Voted
ALGORITHMICA
2005
110views more  ALGORITHMICA 2005»
14 years 9 months ago
Geographic Quorum System Approximations
Quorum systems are a mechanism for obtaining fault-tolerance and efficient distributed systems. We consider geographic quorum systems; a geographic quorum system is a partition of...
Paz Carmi, Shlomi Dolev, Sariel Har-Peled, Matthew...
91
Voted
COMPGEOM
2000
ACM
15 years 1 months ago
When crossings count - approximating the minimum spanning tree
We present an (1+ε)-approximation algorithm for computing the minimum-spanning tree of points in a planar arrangement of lines, where the metric is the number of crossings betwee...
Sariel Har-Peled, Piotr Indyk
72
Voted
CCCG
1993
14 years 11 months ago
Maintaining the Approximate Width of a Set of Points in the Plane
d abstract) Gunter Rotey Christian Schwarzz Jack Snoeyinkx The width of a set of n points in the plane is the smallest distance between two parallel lines that enclose the set. W...
Günter Rote, Christian Schwarz, Jack Snoeyink
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
14 years 11 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...