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ORDER
2010
89views more  ORDER 2010»
14 years 8 months ago
On Order Types of Systems of Segments in the Plane
Let r(n) denote the largest integer such that every family C of n pairwise disjoint segments in the plane in general position has r(n) members whose order type can be represented ...
Andrew Suk
VLDB
2007
ACM
191views Database» more  VLDB 2007»
15 years 10 months ago
Multidimensional reverse k NN search
Given a multidimensional point q, a reverse k nearest neighbor (RkNN) query retrieves all the data points that have q as one of their k nearest neighbors. Existing methods for proc...
Yufei Tao, Dimitris Papadias, Xiang Lian, Xiaokui ...
ISAAC
2005
Springer
76views Algorithms» more  ISAAC 2005»
15 years 3 months ago
Improved Algorithms for the k Maximum-Sums Problems
Given a sequence of n real numbers and an integer k, 1 k 1 2 n(n − 1), the k maximum-sum segments problem is to locate the k segments whose sums are the k largest among all poss...
Chih-Huai Cheng, Kuan-Yu Chen, Wen-Chin Tien, Kun-...
SODA
2008
ACM
125views Algorithms» more  SODA 2008»
14 years 11 months ago
Ultra-low-dimensional embeddings for doubling metrics
We consider the problem of embedding a metric into low-dimensional Euclidean space. The classical theorems of Bourgain, and of Johnson and Lindenstrauss say that any metric on n p...
T.-H. Hubert Chan, Anupam Gupta, Kunal Talwar
JCSS
2002
199views more  JCSS 2002»
14 years 9 months ago
A Constant-Factor Approximation Algorithm for the k-Median Problem
We present the first constant-factor approximation algorithm for the metric k-median problem. The k-median problem is one of the most well-studied clustering problems, i.e., those...
Moses Charikar, Sudipto Guha, Éva Tardos, D...