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SIGMOD
2006
ACM
127views Database» more  SIGMOD 2006»
15 years 12 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
15 years 6 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
15 years 6 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»
14 years 11 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»
14 years 11 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...