Ad Astra Awards
Ad Astra Journal
Science library
White book
University rankings
Who's who
Theses and dissertations
Ad Astra association
Press releases
Funding opportunities
>> Românã

Dimitris Achlioptas, Arthur Chtcherba, Gabriel Istrate and Cristopher Moore. The phase transition in 1-in-k SAT and NAE 3SAT. In Proceedings of the Twelfth ACM-SIAM Symposium on Discrete Algorithms (SODA' 01), Washington, DC, USA. 2001.

Abstract: We determine the precise value of the satisfiability threshold of random 1-in-k SAT. The analysis essentially shows that this (NP-complete) problem
is in the same universality class as the polynomial time computable problem 2SAT, and has a second-order phase transition.

We also obtain rigorous lower and upper bounds, as well an experimental estimate of the location of the phase transition in random NAE 3SAT.

Keywords: satisfiability, sharp thresholds, probabilistic analysis


Posted by Gabriel Istrate


© Ad Astra 2001-2013