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CORR
2006
Springer

Pseudorandomness and Combinatorial Constructions

13 years 3 months ago
Pseudorandomness and Combinatorial Constructions
Abstract. In combinatorics, the probabilistic method is a very powerful tool to prove the existence of combinatorial objects with interesting and useful properties. Explicit constructions of objects with such properties are often very difficult, or unknown. In computer science, probabilistic algorithms are sometimes simpler and more efficient than the best known deterministic algorithms for the same problem. Despite this evidence for the power of random choices, the computational theory of pseudorandomness shows that, under certain complexity-theoretic assumptions, every probabilistic algorithm has an efficient deterministic simulation and a large class of applications of the probabilistic method can be converted into explicit constructions. In this survey paper we describe connections between the conditional "derandomization" results of the computational theory of pseudorandomness and unconditional explicit constructions of certain combinatorial objects such as error-correct...
Luca Trevisan
Added 11 Dec 2010
Updated 11 Dec 2010
Type Journal
Year 2006
Where CORR
Authors Luca Trevisan
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