Inverse Space Filling Curve Partitioning Applied to Wide Area Graphs

Cyprien Gottstein, Philippe Raipin Parvédy, M. Hurfin, Thomas Hassan, T. Coupaye
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Abstract

The most recent developments in graph partitioning research often consider scale-free graphs. Instead we focus on partitioning geometric graphs using a less usual strategy: Inverse Spacefilling Partitioning (ISP). ISP relies on a space filling curve to partition a graph and was previously applied to graphs essentially generated from Meshes. We extend ISP to apply it to a new context where the targets are now Wide Area Graphs. We provide an extended comparison with two state-of-the-art graph partitioning streaming strategies, namely LDG and FENNEL. We also propose customized metrics to better understand and identify the use cases for which the ISP partitioning solution is best suited. Experimentations show that in favourable contexts, edge-cuts can be drastically reduced, going from more 34% using FENNEL to less than 1% using ISP.
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反空间填充曲线划分在广域图中的应用
图划分研究的最新进展通常考虑无标度图。相反,我们专注于使用一种不太常见的策略对几何图进行分区:反向空间填充分区(ISP)。ISP依赖于空间填充曲线来划分图,并且以前应用于基本上由网格生成的图。我们扩展了ISP,将其应用于一个新的上下文,其中目标现在是广域图。我们提供了与两种最先进的图分区流策略(即LDG和FENNEL)的扩展比较。我们还提出了定制的指标,以更好地理解和确定ISP分区解决方案最适合的用例。实验表明,在有利的环境下,边缘切割可以大幅减少,从使用FENNEL的34%以上减少到使用ISP的1%以下。
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