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» Partitioning a weighted partial order
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JCO
2008
84views more  JCO 2008»
13 years 5 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
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
13 years 4 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»
13 years 5 months ago
Realizing partitions respecting full and partial order information
Erik D. Demaine, Jeff Erickson, Danny Krizanc, Hen...
WG
2004
Springer
13 years 10 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
SIAMSC
2010
142views more  SIAMSC 2010»
12 years 11 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...