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Advanced Coarsening Schemes for Graph Partitioning - Ilya ... - KIT

Advanced Coarsening Schemes for Graph Partitioning - Ilya ... - KIT

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Modified Algorithm<br />

Likelihood <strong>for</strong> v ∈ V<br />

if v ∈ C then Pv,v = 1<br />

else<br />

find max pair (1/ρe 1 +<br />

1/ρe 2 )<br />

s.t. coarse vertices not<br />

overloaded when<br />

splitting v<br />

restrict to at most two strongest connections → sparsity<br />

avoid overloaded vertices<br />

18 <strong>Ilya</strong> Safro, Peter Sanders, Christian Schulz:<br />

<strong>Advanced</strong> <strong>Coarsening</strong> <strong>Schemes</strong> <strong>for</strong> <strong>Graph</strong> Partititoning<br />

Department of In<strong>for</strong>matics<br />

Institute <strong>for</strong> Theoretical Computer Science, Algorithmics II

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