28.06.2013 Views

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

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

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

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Coarse Nodes<br />

classical AMG interpolation matrix P<br />

express likelihood of v belonging to c ∈ C → P ∈ R |V |x|C|<br />

16 <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 />

Belong to several aggregates<br />

Lc = P t L f P<br />

volume of c(q ∈ C) := ∑v c(v)Pv,q (sum of weights constant)<br />

wc 1,c 2 = ∑k=l P k,c1 w k,lP l,c2<br />

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

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

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!