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» On the Computational Complexity of Cut-Reduction
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2007
ACM
239views Algorithms» more  STOC 2007»
15 years 10 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
STOC
2006
ACM
92views Algorithms» more  STOC 2006»
15 years 10 months ago
On the importance of idempotence
Range searching is among the most fundamental problems in computational geometry. An n-element point set in Rd is given along with an assignment of weights to these points from so...
Sunil Arya, Theocharis Malamatos, David M. Mount
STOC
2006
ACM
108views Algorithms» more  STOC 2006»
15 years 10 months ago
Extractors for a constant number of polynomially small min-entropy independent sources
We consider the problem of randomness extraction from independent sources. We construct an extractor that can extract from a constant number of independent sources of length n, ea...
Anup Rao
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
15 years 10 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
STOC
2004
ACM
157views Algorithms» more  STOC 2004»
15 years 10 months ago
Derandomizing homomorphism testing in general groups
The main result of this paper is a near-optimal derandomization of the affine homomorphism test of Blum, Luby and Rubinfeld (Journal of Computer and System Sciences, 1993). We sho...
Amir Shpilka, Avi Wigderson
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