15 citations · 15 across the 1 of their papers we have counts for
4 papers
Many Hard Examples in Exact Phase Transitions with Application to Generating Hard Satisfiable Instances
Ke Xu, Wei Li
This paper first analyzes the resolution complexity of two random CSP models (i.e. Model RB/RD) for which we can establish the existence of phase transitions and identify the thres…
On the Average Similarity Degree between Solutions of Random k-SAT and Random CSPs
Ke Xu, Wei Li
To study the structure of solutions for random k-SAT and random CSPs, this paper introduces the concept of average similarity degree to characterize how solutions are similar to ea…
The SAT Phase Transition
Ke Xu, Wei Li
Phase transition is an important feature of SAT problem. For random k-SAT model, it is proved that as r (ratio of clauses to variables) increases, the structure of solutions will u…
An Average Analysis of Backtracking on Random Constraint Satisfaction Problems
Ke Xu, Wei Li
In this paper we propose a random CSP model, called Model GB, which is a natural generalization of standard Model B. It is proved that Model GB in which each constraint is easy to…