Title
Random k-Sat: A Tight Threshold For Moderately Growing k
Abstract
We consider a random instance I of k-SAT with n variables and m clauses, where k=k(n) satisfies k—log2 n→∞. Let m 0=2 k nln2 and let ∈=∈(n)0 be such that ∈n→∞. We prove that $${}^{{\lim }}_{{n \to \infty }} \Pr {\left( {I\;{\text{is}}\;{\text{satisfiable}}} \right)} = \left\{ {^{{1\;m \leqslant {\left( {1 - \in } \right)}m_{0} }}_{{0\;m \geqslant {\left( {1 + \in } \right)}m_{0} }} .} \right.$$
Year
DOI
Venue
2005
10.1007/s00493-005-0017-3
Combinatorica
Keywords
Field
DocType
satisfiability
Discrete mathematics,Combinatorics,Mathematics
Journal
Volume
Issue
ISSN
25
3
0209-9683
Citations 
PageRank 
References 
20
1.29
12
Authors
2
Name
Order
Citations
PageRank
Alan M. Frieze14837787.00
Nicholas C. Wormald21506230.43