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JUCS
2007
118views more  JUCS 2007»
13 years 4 months ago
Satisfying Assignments of Random Boolean Constraint Satisfaction Problems: Clusters and Overlaps
: The distribution of overlaps of solutions of a random constraint satisfaction problem (CSP) is an indicator of the overall geometry of its solution space. For random k-SAT, nonri...
Gabriel Istrate
CP
2005
Springer
13 years 10 months ago
Towards an Optimal CNF Encoding of Boolean Cardinality Constraints
We consider the problem of encoding Boolean cardinality constraints in conjunctive normal form (CNF). Boolean cardinality constraints are formulae expressing that at most (resp. at...
Carsten Sinz
CP
2007
Springer
13 years 11 months ago
Towards Robust CNF Encodings of Cardinality Constraints
Motivated by the performance improvements made to SAT solvers in recent years, a number of different encodings of constraints into SAT have been proposed. Concrete examples are th...
João P. Marques Silva, Inês Lynce
CP
2011
Springer
12 years 4 months ago
Hierarchically Nested Convex VCSP
We introduce tractable classes of VCSP instances based on convex cost functions. Firstly, we show that the class of VCSP instances satisfying the hierarchically nested convexity pr...
Martin C. Cooper, Stanislav Zivny
COCO
2004
Springer
133views Algorithms» more  COCO 2004»
13 years 10 months ago
Parameterized Complexity of Constraint Satisfaction Problems
We prove a parameterized analog of Schaefer’s Dichotomy Theorem: we show that for every finite boolean constraint family F, deciding whether a formula containing constraints fr...
Dániel Marx