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13

IWPEC
2009
Springer

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Partitioning into Sets of Bounded Cardinality

13 years 11 months ago

Partitioning into Sets of Bounded Cardinality

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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 among the members of the family. Speciﬁcally, we give a simple combinatorial algorithm that counts perfect matchings in a given graph on n vertices in time O(poly(n)ϕn ), where

Mikko Koivisto

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Applied Computing | IWPEC 2009 | N-element Set | Set Family | Simple Combinatorial Algorithm |

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Added	27 May 2010
Updated	27 May 2010
Type	Conference
Year	2009
Where	IWPEC
Authors	Mikko Koivisto

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