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» The Euclidean Orienteering Problem Revisited
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WADS
2007
Springer
165views Algorithms» more  WADS 2007»
13 years 11 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
COMPGEOM
1997
ACM
13 years 9 months ago
Approximate Nearest Neighbor Queries Revisited
This paper proposes new methods to answer approximate nearest neighbor queries on a set of n points in d-dimensional Euclidean space. For any xed constant d, a data structure with...
Timothy M. Chan
CCGRID
2007
IEEE
13 years 11 months ago
Revisit of View-Oriented Parallel Programming
Traditional parallel programming styles have many problems which hinder the development of parallel applications. The message passing style can be too complex for many programmers...
Z. Huang, W. Chen
COMPGEOM
2004
ACM
13 years 10 months ago
New results on shortest paths in three dimensions
We revisit the problem of computing shortest obstacle-avoiding paths among obstacles in three dimensions. We prove new hardness results, showing, e.g., that computing Euclidean sh...
Joseph S. B. Mitchell, Micha Sharir
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
13 years 6 months ago
The rectilinear Steiner arborescence problem is NP-complete
Given a set P of points in the first quadrant, a Rectilinear Steiner Arborescence (RSA) is a directed tree rooted at the origin, containing all points in P, and composed solely of...
Weiping Shi, Chen Su