Multilevel k-way Partitioning Scheme for Irregular Graphs

In this paper we present a parallel formulation of a multilevel k-way graph partitioning algorithm. A key feature of this parallel formulation is that it is able to achieve a high degree of concurrency while maintaining the high quality of the partitions produced by the serial multilevel k-way partitioning algorithm. In particular, the time taken by our parallel graph partitioning algorithm is only slightly longer than the time taken for rearrangement of the graph among processors according to the new partition. Experiments with a variety of finite element graphs show that our parallel formulation produces highquality partitionings in a short amount of time. For example, a 128-way partitioning of graphs with one million vertices can be computed in a little over two seconds on a 128processor Cray T3D. Furthermore, the quality of the partitions produced is comparable (edge-cuts within 5%) to those produced by the serial multilevel k-way algorithm. Thus our parallel algorithm makes it fe...

• Type: Journal
• Year: 1998
• Where: JPDC
• Authors: George Karypis, Vipin Kumar
• Keywords: Algorithms, JPDC 1998, Multilevel K-way, Parallel Formulation