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FSTTCS
2004
Springer
14 years 24 days ago
Testing Geometric Convexity
We consider the problem of determining whether a given set S in Rn is approximately convex, i.e., if there is a convex set K ∈ Rn such that the volume of their symmetric differe...
Luis Rademacher, Santosh Vempala
FOCS
2006
IEEE
14 years 1 months ago
On the Optimality of the Dimensionality Reduction Method
We investigate the optimality of (1+ )-approximation algorithms obtained via the dimensionality reduction method. We show that: • Any data structure for the (1 + )-approximate n...
Alexandr Andoni, Piotr Indyk, Mihai Patrascu
ICALP
2010
Springer
14 years 6 days ago
Clustering with Diversity
Abstract. We consider the clustering with diversity problem: given a set of colored points in a metric space, partition them into clusters such that each cluster has at least point...
Jian Li, Ke Yi, Qin Zhang
STOC
2001
ACM
122views Algorithms» more  STOC 2001»
14 years 7 months ago
Provisioning a virtual private network: a network design problem for multicommodity flow
Consider a setting in which a group of nodes, situated in a large underlying network, wishes to reserve bandwidth on which to support communication. Virtual private networks (VPNs...
Anupam Gupta, Jon M. Kleinberg, Amit Kumar, Rajeev...
ISBRA
2009
Springer
14 years 2 months ago
Untangling Tanglegrams: Comparing Trees by Their Drawings
A tanglegram is a pair of trees on the same set of leaves with matching leaves in the two trees joined by an edge. Tanglegrams are widely used in biology – to compare evolutiona...
Balaji Venkatachalam, Jim Apple, Katherine St. Joh...