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» Inclusion--Exclusion Algorithms for Counting Set Partitions
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FOCS
2006
IEEE
13 years 10 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
IWPEC
2010
Springer
13 years 2 months ago
Inclusion/Exclusion Branching for Partial Dominating Set and Set Splitting
Abstract. Inclusion/exclusion branching is a way to branch on requirements imposed on problems, in contrast to the classical branching on parts of the solution. The technique turne...
Jesper Nederlof, Johan M. M. van Rooij
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
DAC
1996
ACM
13 years 8 months ago
A Hardware/Software Partitioning Algorithm for Designing Pipelined ASIPs with Least Gate Counts
Abstract -- This paper introduces a new HW/SW partitioning algorithm used in automating the instruction set processor design for pipelined ASIP (Application Specific Integrated Pro...
Nguyen-Ngoc Bình, Masaharu Imai, Akichika S...
JMMA
2010
90views more  JMMA 2010»
12 years 11 months ago
A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions
An original algorithm is presented that generates both restricted integer compositions and restricted integer partitions that can be constrained simultaneously by a) upper and low...
John Douglas Opdyke