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ESA
2011
Springer
252views Algorithms» more  ESA 2011»
12 years 11 months ago
Ray-Shooting Depth: Computing Statistical Data Depth of Point Sets in the Plane
Over the past several decades, many combinatorial measures have been devised for capturing the statistical data depth of a set of n points in R2 . These include Tukey depth [15], O...
Nabil H. Mustafa, Saurabh Ray, Mudassir Shabbir
DAM
1999
169views more  DAM 1999»
13 years 11 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
JCSS
2008
96views more  JCSS 2008»
13 years 11 months ago
Precedence constrained scheduling in (2 - 7/(3p+1)) optimal
We present a polynomial time approximation algorithm for unit time precedence constrained scheduling. Our algorithm guarantees schedules which are at most 2 - 7 3p+1 factor as lon...
Devdatta Gangal, Abhiram G. Ranade
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
14 years 3 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
ASPDAC
2007
ACM
121views Hardware» more  ASPDAC 2007»
14 years 3 months ago
Approximation Algorithm for Process Mapping on Network Processor Architectures
The high performance requirements of networking applications has led to the advent of programmable network processor (NP) architectures that incorporate symmetric multiprocessing, ...
Christopher Ostler, Karam S. Chatha, Goran Konjevo...
STOC
1999
ACM
123views Algorithms» more  STOC 1999»
14 years 3 months ago
Covering Rectilinear Polygons with Axis-Parallel Rectangles
We give an O( log n) factor approximation algorithm for covering a rectilinear polygon with holes using axis-parallel rectangles. This is the first polynomial time approximation a...
V. S. Anil Kumar, H. Ramesh
AAIM
2007
Springer
188views Algorithms» more  AAIM 2007»
14 years 5 months ago
Approximation Algorithms for the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph G = (V, E) and a weight function w : E → Z+ , we consider the problem of orienting all edges in E so that the maximum weighted outdegree among all verti...
Yuichi Asahiro, Jesper Jansson, Eiji Miyano, Hirot...