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CPC
2007
101views more  CPC 2007»
13 years 10 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
CORR
2010
Springer
43views Education» more  CORR 2010»
13 years 10 months ago
Exact Localization and Superresolution with Noisy Data and Random Illumination
This paper studies the problem of exact localization of multiple objects with noisy data. The crux of the proposed approach consists of random illumination. Two recovery methods ar...
Albert Fannjiang
FOCS
2004
IEEE
14 years 1 months ago
Extracting Randomness Using Few Independent Sources
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
Boaz Barak, Russell Impagliazzo, Avi Wigderson
COCOON
2006
Springer
13 years 12 months ago
Creation and Growth of Components in a Random Hypergraph Process
Denote by an -component a connected b-uniform hypergraph with k edges and k(b - 1) - vertices. We prove that the expected number of creations of -component during a random hypergr...
Vlady Ravelomanana, Alphonse Laza Rijamamy
AI
2006
Springer
14 years 1 months ago
On the Quality and Quantity of Random Decisions in Stochastic Local Search for SAT
Stochastic local search (SLS) methods are underlying some of the best-performing algorithms for certain types of SAT instances, both from an empirical as well as from a theoretical...
Dave A. D. Tompkins, Holger H. Hoos