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» Some Lower Bounds for the Complexity of Continuation Methods
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SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 9 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
ISHPC
2003
Springer
14 years 1 months ago
Evaluating Heuristic Scheduling Algorithms for High Performance Parallel Processing
Most cluster systems used in high performance computing do not allow process relocation at run-time. Finding an allocation that results in minimal completion time is NP-hard and (n...
Lars Lundberg, Magnus Broberg, Kamilla Klonowska
ICALP
2004
Springer
14 years 1 months ago
The Black-Box Complexity of Nearest Neighbor Search
We define a natural notion of efficiency for approximate nearest-neighbor (ANN) search in general n-point metric spaces, namely the existence of a randomized algorithm which answ...
Robert Krauthgamer, James R. Lee
JC
2007
64views more  JC 2007»
13 years 8 months ago
Quadrature in Besov spaces on the Euclidean sphere
Let q ≥ 1 be an integer, Sq denote the unit sphere embedded in the Euclidean space Rq+1, and µq be its Lebesgue surface measure. We establish upper and lower bounds for sup f...
Kerstin Hesse, H. N. Mhaskar, Ian H. Sloan
IJRR
2008
92views more  IJRR 2008»
13 years 8 months ago
Robust and Efficient Covering of Unknown Continuous Domains with Simple, Ant-Like A(ge)nts
We propose a new `Mark-Ant-Walk' algorithm for robust and efficient covering of continuous domains by ant-like robots with very limited capabilities. The robots can mark plac...
Eliyahu Osherovich, Vladimir Yanovski, Israel A. W...