most citedCircuit Complexity and Decompositions of Global Constraints

58 citations · 152 across the 7 of their papers we have counts for

collaborators

7 papers

cs.AI20091 cited

Decomposition of the NVALUE constraint

Christian Bessiere, George Katsirelos, Nina Narodytska +2

We study decompositions of NVALUE, a global constraint that can be used to model a wide range of problems where values need to be counted. Whilst decomposition typically hinders pr…

cs.AI200958 cited

Circuit Complexity and Decompositions of Global Constraints

Christian Bessiere, George Katsirelos, Nina Narodytska +1

We show that tools from circuit complexity can be used to study decompositions of global constraints. In particular, we study decompositions of global constraints into conjunctive…

cs.AI200923 cited

Decompositions of All Different, Global Cardinality and Related Constraints

Christian Bessiere, George Katsirelos, Nina Narodytska +2

We show that some common and important global constraints like ALL-DIFFERENT and GCC can be decomposed into simple arithmetic constraints on which we achieve bound or range consist…

cs.AI2009

The Complexity of Reasoning with Global Constraints

Christian Bessiere, Emmanuel Hebrard, Brahim Hnich +1

Constraint propagation is one of the techniques central to the success of constraint programming. To reduce search, fast algorithms associated with each constraint prune the domain…

cs.AI200942 cited

SLIDE: A Useful Special Case of the CARDPATH Constraint

Christian Bessiere, Emmanuel Hebrard, Brahim Hnich +2

We study the CardPath constraint. This ensures a given constraint holds a number of times down a sequence of variables. We show that SLIDE, a special case of CardPath where the sli…

cs.AI200928 cited

The Parameterized Complexity of Global Constraints

Christian Bessiere, Emmanuel Hebrard, Brahim Hnich +2

We argue that parameterized complexity is a useful tool with which to study global constraints. In particular, we show that many global constraints which are intractable to propaga…