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» Partitioning into Sets of Bounded Cardinality
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IWPEC
2009
Springer
13 years 11 months ago
Partitioning into Sets of Bounded Cardinality
Abstract. We show that the partitions of an n-element set into k members of a given set family can be counted in time O((2− )n ), where > 0 depends only on the maximum size am...
Mikko Koivisto
CP
2004
Springer
13 years 10 months ago
Disjoint, Partition and Intersection Constraints for Set and Multiset Variables
We have started a systematic study of global constraints on set and multiset variables. We consider here disjoint, partition, and intersection constraints in conjunction with cardi...
Christian Bessière, Emmanuel Hebrard, Brahi...
ARSCOM
2008
192views more  ARSCOM 2008»
13 years 5 months ago
Bounds on the metric and partition dimensions of a graph
Given a graph G, we say S V (G) is resolving if for each pair of distinct u, v V (G) there is a vertex x in S where d(u, x) = d(v, x). The metric dimension of G is the minimum c...
Glenn G. Chappell, John G. Gimbel, Chris Hartman
EOR
2006
83views more  EOR 2006»
13 years 4 months ago
Lower bounds and heuristic algorithms for the k
We consider the problem of partitioning a set of positive integers values into a given number of subsets, each having an associated cardinality limit, so that the maximum sum of v...
Mauro Dell'Amico, Manuel Iori, Silvano Martello, M...
HEURISTICS
2008
136views more  HEURISTICS 2008»
13 years 3 months ago
Enhancing set constraint solvers with lexicographic bounds
Since their beginning in constraint programming, set solvers have been applied to a wide range of combinatorial search problems, such as bin-packing, set partitioning, circuit desi...
Andrew Sadler, Carmen Gervet