Title
A Probabilistic 3-SAT Algorithm Further Improved
Abstract
In [Sch99], Sch枚ning proposed a simple yet efficient randomized algorithm for solving the k-SAT problem. In the case of 3-SAT, the algorithm has an expected running time of poly(n) 驴 (4/3)n = O(1.3334n) when given a formula F on n variables. This was the up to now best running time known for an algorithm solving 3-SAT. Here, we describe an algorithm which improves upon this time bound by combining an improved version of the above randomized algorithm with other randomized algorithms. Our new expected time bound for 3-SAT is O(1.3302n).
Year
DOI
Venue
2002
10.1007/3-540-45841-7_15
STACS
Keywords
Field
DocType
k-sat problem,randomized algorithm,efficient randomized algorithm,n variable,new expected time,improved version,probabilistic 3-sat algorithm,formula f
Randomized algorithm,Discrete mathematics,Combinatorics,Computer science,Boolean satisfiability problem,Propositional calculus,Algorithm,Probabilistic logic,Freivalds' algorithm
Conference
ISBN
Citations 
PageRank 
3-540-43283-3
42
5.10
References 
Authors
8
4
Name
Order
Citations
PageRank
Thomas Hofmeister1749.91
Uwe Schöning2998105.69
Rainer Schuler3669.46
Osamu Watanabe4960104.55