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» On the Number of Birch Partitions
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FOCS
2006
IEEE
14 years 2 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
EUROPAR
1999
Springer
14 years 27 days ago
A New Algorithm for Multi-objective Graph Partitioning
Recently, a number of graph partitioning applications have emerged with additional requirements that the traditional graph partitioning model alone cannot e ectively handle. One s...
Kirk Schloegel, George Karypis, Vipin Kumar
EJC
2008
13 years 8 months ago
Partitions and Clifford algebras
Given the set [n] = {1, . . . , n} for positive integer n, combinatorial properties of Clifford algebras are exploited to count partitions and nonoverlapping partitions of [n]. Th...
René Schott, G. Stacey Staples
WG
2004
Springer
14 years 1 months ago
Partitioning a Weighted Graph to Connected Subgraphs of Almost Uniform Size
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
ASPDAC
1999
ACM
132views Hardware» more  ASPDAC 1999»
14 years 28 days ago
Faster and Better Spectral Algorithms for Multi-Way Partitioning
In this paper, two faster and better spectral algorithms are presented for the multi-way circuit partitioning problem with the objective of minimizing the Scaled Cost. As pointed ...
Jan-Yang Chang, Yu-Chen Liu, Ting-Chi Wang