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» Hausdorff Dimension in Exponential Time
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COCO
2001
Springer
122views Algorithms» more  COCO 2001»
13 years 9 months ago
Hausdorff Dimension in Exponential Time
In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in line...
Klaus Ambos-Spies, Wolfgang Merkle, Jan Reimann, F...
FOCS
1990
IEEE
13 years 8 months ago
Parallel Linear Programming in Fixed Dimension Almost Surely in Constant Time
For any xed dimension d, the linear programming problem with n inequality constraints can be solved on a probabilistic CRCW PRAM with O(n) processors almost surely in constant time...
Noga Alon, Nimrod Megiddo
COCO
2004
Springer
79views Algorithms» more  COCO 2004»
13 years 8 months ago
Small Spans in Scaled Dimension
Juedes and Lutz (1995) proved a small span theorem for polynomial-time many-one reductions in exponential time. This result says that for language A decidable in exponential time,...
John M. Hitchcock
COMPGEOM
2009
ACM
13 years 9 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
IWPEC
2009
Springer
13 years 11 months ago
The Parameterized Complexity of Some Geometric Problems in Unbounded Dimension
We study the parameterized complexity of the following fundamental geometric problems with respect to the dimension d: i) Given n points in Rd, compute their minimum enclosing cyl...
Panos Giannopoulos, Christian Knauer, Günter ...