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TCS
2008
13 years 7 months ago
Competitive graph searches
We exemplify an optimization criterion for divide-and-conquer algorithms with a technique called generic competitive graph search. The technique is then applied to solve two probl...
Binh-Minh Bui-Xuan, Michel Habib, Christophe Paul
SODA
1993
ACM
202views Algorithms» more  SODA 1993»
13 years 8 months ago
Approximate Nearest Neighbor Queries in Fixed Dimensions
Given a set of n points in d-dimensional Euclidean space, S ⊂ Ed , and a query point q ∈ Ed , we wish to determine the nearest neighbor of q, that is, the point of S whose Euc...
Sunil Arya, David M. Mount
CCCG
1994
13 years 8 months ago
Widest Empty Corridor with Multiple Links and Right-angle Turns
We formulate the problem of computing the widest empty corridor with at most ` links and right-angle turns for a set of n points. It is a generalization of the widest empty corrid...
Siu-Wing Cheng
COMPGEOM
2007
ACM
13 years 11 months ago
Kinetic KD-trees and longest-side KD-trees
We propose a simple variant of kd-trees, called rank-based kd-trees, for sets of points in Rd . We show that a rank-based kd-tree, like an ordinary kd-tree, supports range search ...
Mohammad Ali Abam, Mark de Berg, Bettina Speckmann
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 7 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid