ECCC
2006
13 years 10 months ago
2006
In our problem we are given a set of customers, their positions on the plane and their demands. Geometrically, the area covered by a directional antenna with parameters , ,
ECCC
2006
13 years 10 months ago
2006
ECCC
2006
13 years 10 months ago
2006
We give new constructions of randomness extractors and lossless condensers that are optimal to within constant factors in both the seed length and the output length. For extractor...
ECCC
2006
13 years 10 months ago
2006
We introduce a new algorithm and a new analysis technique that is applicable to a variety of online optimization scenarios, including regret minimization for Lipschitz regret func...
ECCC
2006
13 years 10 months ago
2006
Ant Colony Optimization (ACO) has become quite popular in recent years. In contrast to many successful applications, the theoretical foundation of this randomized search heuristic...
ECCC
2006
13 years 10 months ago
2006
We show that for any > 0, a maximum-weight triangle in an undirected graph with n vertices and real weights assigned to vertices can be found in time O(n + n2+), where is the ...
ECCC
2006
13 years 10 months ago
2006
ECCC
2006
13 years 10 months ago
2006
Under the assumption that NP does not have p-measure 0, we investigate reductions to NP-complete sets and prove the following: (1) Adaptive reductions are more powerful than nonad...
ECCC
2006
13 years 10 months ago
2006
ECCC
2006
13 years 10 months ago
2006
Ahlswede and Winter [AW02] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound for real-valued random...