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» Partitioning into Sets of Bounded Cardinality
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CATS
2008
13 years 9 months ago
Tractable Cases of the Extended Global Cardinality Constraint
We study the consistency problem for extended global cardinality (EGC) constraints. An EGC constraint consists of a set X of variables, a set D of values, a domain D(x) D for eac...
Marko Samer, Stefan Szeider
FOCS
2007
IEEE
14 years 1 months ago
Adaptive Simulated Annealing: A Near-optimal Connection between Sampling and Counting
We present a near-optimal reduction from approximately counting the cardinality of a discrete set to approximately sampling elements of the set. An important application of our wo...
Daniel Stefankovic, Santosh Vempala, Eric Vigoda
APPROX
2006
Springer
130views Algorithms» more  APPROX 2006»
13 years 11 months ago
Tight Results on Minimum Entropy Set Cover
In the minimum entropy set cover problem, one is given a collection of k sets which collectively cover an n-element ground set. A feasible solution of the problem is a partition o...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret
CP
2009
Springer
14 years 8 months ago
On Decomposing Knapsack Constraints for Length-Lex Bounds Consistency
The length-lex representation for set variables orders all subsets of a given universe of values according to cardinality and lexicography. To achieve length-lex bounds consistency...
Meinolf Sellmann
DAM
2007
70views more  DAM 2007»
13 years 7 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