Title
Advanced Coarsening Schemes for Graph Partitioning
Abstract
The graph partitioning problem is widely used and studied in many practical and theoretical applications. Today, multilevel strategies represent one of the most effective and efficient generic frameworks for solving this problem on large-scale graphs. Most of the attention in designing multilevel partitioning frameworks has been on the refinement phase. In this work, we focus on the coarsening phase, which is responsible for creating structures similar to the original but smaller graphs. We compare different matching- and AMG-based coarsening schemes, experiment with the algebraic distance between nodes, and demonstrate computational results on several classes of graphs that emphasize the running time and quality advantages of different coarsening schemes.
Year
DOI
Venue
2012
10.1145/2670338
ACM Journal of Experimental Algorithmics
Keywords
DocType
Volume
multilevel strategy,algorithms,different coarsenings,computational result,advanced coarsening scheme,coarsening,multilevel algorithm,different matching,refinement phase,multilevel partitioning framework,efficient generic framework,amg-based coarsening scheme,optimization,uncoarsening,algebraic distance,refinement,graph theory,graph partitioning,numerical algorithms and problems,coarsening phase,computational optimization
Conference
19,
Issue
Citations 
PageRank 
1
26
0.83
References 
Authors
25
3
Name
Order
Citations
PageRank
Ilya Safro122625.29
peter sanders236129.35
Christian Schulz324024.10