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ICCSA
2010
Springer
14 years 29 days ago
Efficient Algorithms for the 2-Center Problems
This paper achieves O(n3 log log n/ log n) time for the 2center problems on a directed graph with non-negative edge costs under the conventional RAM model where only arithmetic ope...
Tadao Takaoka
ESA
2008
Springer
81views Algorithms» more  ESA 2008»
14 years 23 days ago
An Efficient Algorithm for 2D Euclidean 2-Center with Outliers
For a set P of n points in R2 , the Euclidean 2-center problem computes a pair of congruent disks of the minimal radius that cover P. We extend this to the (2, k)-center problem wh...
Pankaj K. Agarwal, Jeff M. Phillips
COMPGEOM
2010
ACM
14 years 4 months ago
The 2-center problem in three dimensions
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir
CCCG
2008
14 years 13 days ago
Application of computational geometry to network p-center location problems
In this paper we showed that a p( 2)-center location problem in general networks can be transformed to the well known Klee's measure problem [5]. This resulted in an improved...
Qiaosheng Shi, Binay K. Bhattacharya
COMPGEOM
2009
ACM
14 years 5 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy