A Simple Yet Effective Balanced Edge Partition Model for Parallel Computing

Lingda Li, Robel Geda, Ari B. Hayes, Yan-Hao Chen, Pranav Chaudhari, E. Zhang, M. Szegedy
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引用次数: 12

Abstract

Graph edge partition models have recently become an appealing alternative to graph vertex partition models for distributed computing due to both their flexibility in balancing loads and their performance in reducing communication cost. In this paper, we propose a simple yet effective graph edge partitioning algorithm. In practice, our algorithm provides good partition quality while maintaining low partition overhead. It also outperforms similar state-of-the-art edge partition approaches, especially for power-law graphs. In theory, previous work showed that an approximation guarantee of O(dmax√(log n log k)) apply to the graphs with m=Ω(k2) edges (n is the number of vertices, and k is the number of partitions). We further rigorously proved that this approximation guarantee hold for all graphs. We also demonstrate the applicability of the proposed edge partition algorithm in real parallel computing systems. We draw our example from GPU program locality enhancement and demonstrate that the graph edge partition model does not only apply to distributed computing with many computer nodes, but also to parallel computing in a single computer node with a many-core processor.
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一种简单而有效的并行计算平衡边缘划分模型
图边缘划分模型由于其在平衡负载方面的灵活性和降低通信成本方面的性能,最近已成为图顶点划分模型的一种有吸引力的分布式计算替代方案。本文提出了一种简单而有效的图边缘划分算法。在实践中,我们的算法提供了良好的分区质量,同时保持了较低的分区开销。它还优于类似的最先进的边缘划分方法,特别是对于幂律图。理论上,先前的工作表明,O(dmax√(log n log k))的近似保证适用于m=Ω(k2)条边的图(n是顶点的数量,k是分区的数量)。进一步严格证明了该近似保证对所有图都成立。我们还证明了所提出的边缘划分算法在实际并行计算系统中的适用性。以GPU程序局部性增强为例,证明了图边划分模型不仅适用于多节点分布式计算,也适用于多核处理器单节点并行计算。
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