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152
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LION
2009
Springer
152views Optimization» more  LION 2009»
15 years 10 months ago
Comparison of Coarsening Schemes for Multilevel Graph Partitioning
Graph partitioning is a well-known optimization problem of great interest in theoretical and applied studies. Since the 1990s, many multilevel schemes have been introduced as a pra...
Cédric Chevalier, Ilya Safro
GFKL
2005
Springer
95views Data Mining» more  GFKL 2005»
15 years 9 months ago
An Indicator for the Number of Clusters: Using a Linear Map to Simplex Structure
Abstract. The problem of clustering data can be formulated as a graph partitioning problem. In this setting, spectral methods for obtaining optimal solutions have received a lot of...
Marcus Weber, Wasinee Rungsarityotin, Alexander Sc...
117
Voted
EJC
2010
15 years 3 months ago
Partitions versus sets: A case of duality
In a recent paper, Amini et al. introduced a general framework to prove duality theorems between tree decompositions and their dual combinatorial object. They unify all known ad-h...
Laurent Lyaudet, Frédéric Mazoit, St...
113
Voted
COCOON
2009
Springer
15 years 10 months ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...
118
Voted
ISPD
1999
ACM
79views Hardware» more  ISPD 1999»
15 years 8 months ago
Partitioning with terminals: a "new" problem and new benchmarks
The presence of fixed terminals in hypergraph partitioning instances arising in top-down standard-cell placement makes such instances qualitatively different from the free hyperg...
Charles J. Alpert, Andrew E. Caldwell, Andrew B. K...