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» Partitioning a weighted partial order
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JCO
2008
84views more  JCO 2008»
14 years 10 months ago
Partitioning a weighted partial order
The problem of partitioning a partially ordered set into a minimum number of chains is a well-known problem. In this paper we study a generalization of this problem, where we not ...
Linda S. Moonen, Frits C. R. Spieksma
80
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COMBINATORICS
2004
97views more  COMBINATORICS 2004»
14 years 10 months ago
Dominance Order and Graphical Partitions
We gave a new criterion for graphical partitions. We derive a new recursion formula, which allows the computation of the number g(n) of graphical partitions of weight n for up to ...
Axel Kohnert
JDA
2008
59views more  JDA 2008»
14 years 10 months ago
Realizing partitions respecting full and partial order information
Erik D. Demaine, Jeff Erickson, Danny Krizanc, Hen...
100
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WG
2004
Springer
15 years 3 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
89
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SIAMSC
2010
142views more  SIAMSC 2010»
14 years 5 months ago
Hypergraph-Based Unsymmetric Nested Dissection Ordering for Sparse LU Factorization
In this paper we present HUND, a hypergraph-based unsymmetric nested dissection ordering algorithm for reducing the fill-in incurred during Gaussian elimination. HUND has several i...
Laura Grigori, Erik G. Boman, Simplice Donfack, Ti...