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SODA
2004
ACM
80views Algorithms» more  SODA 2004»
15 years 1 months ago
Output-sensitive construction of the union of triangles
We present an efficient algorithm for the following problem: Given a collection T = {1, . . . , n} of n triangles in the plane, such that there exists a subset S T (unknown to us)...
Eti Ezra, Micha Sharir
SODA
2004
ACM
94views Algorithms» more  SODA 2004»
15 years 1 months ago
A time efficient Delaunay refinement algorithm
In this paper we present a Delaunay refinement algorithm for generating good aspect ratio and optimal size triangulations. This is the first algorithm known to have sub-quadratic ...
Gary L. Miller
SODA
2004
ACM
127views Algorithms» more  SODA 2004»
15 years 1 months ago
An optimal randomized algorithm for maximum Tukey depth
We present the first optimal algorithm to compute the maximum Tukey depth (also known as location or halfspace depth) for a non-degenerate point set in the plane. The algorithm is...
Timothy M. Chan
SODA
2004
ACM
88views Algorithms» more  SODA 2004»
15 years 1 months ago
Constructing finite field extensions with large order elements
In this paper, we present an algorithm that given a fixed prime power q and a positive integer N, finds an integer n [N, 2qN] and an element Fqn of order greater than 5.8n/ log...
Qi Cheng
SODA
2004
ACM
161views Algorithms» more  SODA 2004»
15 years 1 months ago
Approximation schemes for Metric Bisection and partitioning
We design polynomial time approximation schemes (PTASs) for Metric BISECTION, i.e. dividing a given finite metric space into two halves so as to minimize or maximize the sum of di...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...