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SIGMOD
2006
ACM
127views Database» more  SIGMOD 2006»
14 years 4 months ago
Efficient reverse k-nearest neighbor search in arbitrary metric spaces
The reverse k-nearest neighbor (RkNN) problem, i.e. finding all objects in a data set the k-nearest neighbors of which include a specified query object, is a generalization of the...
Elke Achtert, Christian Böhm, Peer Kröge...
FOCS
2008
IEEE
13 years 11 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon
FOCS
2008
IEEE
13 years 11 months ago
Degree Bounded Network Design with Metric Costs
Given a complete undirected graph, a cost function on edges and a degree bound B, the degree bounded network design problem is to find a minimum cost simple subgraph with maximum...
Yuk Hei Chan, Wai Shing Fung, Lap Chi Lau, Chun Ko...
CORR
2007
Springer
77views Education» more  CORR 2007»
13 years 4 months ago
Quantization Bounds on Grassmann Manifolds of Arbitrary Dimensions and MIMO Communications with Feedback
— This paper considers the quantization problem on the Grassmann manifold with dimension n and p. The unique contribution is the derivation of a closed-form formula for the volum...
Wei Dai, Youjian Liu, Brian Rider
JCSS
2006
89views more  JCSS 2006»
13 years 4 months ago
Ramsey-type theorems for metric spaces with applications to online problems
A nearly logarithmic lower bound on the randomized competitive ratio for the metrical task systems problem is presented. This implies a similar lower bound for the extensively stu...
Yair Bartal, Béla Bollobás, Manor Me...