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» Polynomial Constraints for Sets with Cardinality Bounds
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LICS
2009
IEEE
13 years 11 months ago
The Complexity of Global Cardinality Constraints
In a constraint satisfaction problem (CSP) the goal is to find an assignment of a given set of variables subject to specified constraints. A global cardinality constraint is an ...
Andrei A. Bulatov, Dániel Marx
CORR
2004
Springer
176views Education» more  CORR 2004»
13 years 5 months ago
The First-Order Theory of Sets with Cardinality Constraints is Decidable
Data structures often use an integer variable to keep track of the number of elements they store. An invariant of such data structure is that the value of the integer variable is ...
Viktor Kuncak, Martin C. Rinard
WAOA
2007
Springer
109views Algorithms» more  WAOA 2007»
13 years 11 months ago
Approximation Schemes for Packing Splittable Items with Cardinality Constraints
We continue the study of bin packing with splittable items and cardinality constraints. In this problem, a set of items must be packed into as few bins as possible. Items may be s...
Leah Epstein, Rob van Stee
IPL
2008
111views more  IPL 2008»
13 years 5 months ago
Adding cardinality constraints to integer programs with applications to maximum satisfiability
Max-SAT-CC is the following optimization problem: Given a formula in CNF and a bound k, find an assignment with at most k variables being set to true that maximizes the number of ...
Markus Bläser, Thomas Heynen, Bodo Manthey
DAM
2007
70views more  DAM 2007»
13 years 5 months ago
Tree-edges deletion problems with bounded diameter obstruction sets
We study the following problem: Given a tree G and a finite set of trees H, find a subset O of the edges of G such that G − O does not contain a subtree isomorphic to a tree f...
Dekel Tsur