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» On the number of rectangular partitions
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ICTAI
2007
IEEE
14 years 1 months ago
Hypergraph Partitioning for Exploiting Localities in Nonlinear Constrained Optimization
In this paper, we present a new hypergraph partitioning algorithm that jointly optimizes the number of hyperedge cuts and the number of shared vertices in nonlinear constrained op...
Benjamin W. Wah, Soomin Lee
JDA
2008
67views more  JDA 2008»
13 years 7 months ago
On minimum k-modal partitions of permutations
Partitioning a permutation into a minimum number of monotone subsequences is NP-hard. We extend this complexity result
Gabriele Di Stefano, Stefan Krause, Marco E. L&uum...
FOCS
2006
IEEE
14 years 1 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
13 years 11 months 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 7 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