Tree clustering for constraint networks (research note)
Artificial Intelligence
Tractable constraints on ordered domains
Artificial Intelligence
Closure properties of constraints
Journal of the ACM (JACM)
On the algebraic structure of combinatorial problems
Theoretical Computer Science
Constraints, consistency and closure
Artificial Intelligence
A combinatorial algorithm minimizing submodular functions in strongly polynomial time
Journal of Combinatorial Theory Series B
A combinatorial strongly polynomial algorithm for minimizing submodular functions
Journal of the ACM (JACM)
Universal Algebra and Applications in Theoretical Computer Science
Universal Algebra and Applications in Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Discrete Applied Mathematics
Classifying the Complexity of Constraints Using Finite Algebras
SIAM Journal on Computing
Information Processing Letters
The complexity of soft constraint satisfaction
Artificial Intelligence
Handbook of Constraint Programming (Foundations of Artificial Intelligence)
Handbook of Constraint Programming (Foundations of Artificial Intelligence)
Submodular function minimization
Mathematical Programming: Series A and B
A maximal tractable class of soft constraints
Journal of Artificial Intelligence Research
On the expressiveness of networks with hidden variables
AAAI'90 Proceedings of the eighth National conference on Artificial intelligence - Volume 1
An algebraic characterisation of complexity for valued constraint
CP'06 Proceedings of the 12th international conference on Principles and Practice of Constraint Programming
A note on some collapse results of valued constraints
Information Processing Letters
An algebraic theory of complexity for valued constraints: establishing a Galois connection
MFCS'11 Proceedings of the 36th international conference on Mathematical foundations of computer science
Hi-index | 5.23 |
In this paper, we investigate the ways in which a fixed collection of valued constraints can be combined to express other valued constraints. We show that in some cases, a large class of valued constraints, of all possible arities, can be expressed by using valued constraints over the same domain of a fixed finite arity. We also show that some simple classes of valued constraints, including the set of all monotonic valued constraints with finite cost values, cannot be expressed by a subset of any fixed finite arity, and hence form an infinite hierarchy.