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Partitioning Wide Area Graphs Using a Space Filling Curve

机译:使用空间填充曲线划分宽区域图

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Graph structure is a very powerful tool to model system and represent their actual shape. For instance, modelling an infrastructure or social network naturally leads to graph. Yet, graphs can be very different from one another as they do not share the same properties (size, connectivity, communities, etc.) and building a system able to manage graphs should take into account this diversity. A big challenge concerning graph management is to design a system providing a scalable persistent storage and allowing efficient browsing. Mainly to study social graphs, the most recent developments in graph partitioning research often consider scale-free graphs. As we are interested in modelling connected objects and their context, we focus on partitioning geometric graphs. Consequently our strategy differs, we consider geometry as our main partitioning tool. In fact, we rely on Inverse Space-filling Partitioning, a technique which relies on a space filling curve to partition a graph and was previously applied to graphs essentially generated from Meshes. Furthermore, we extend Inverse Space-Filling Partitioning toward a new target we define as 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.
机译:图形结构是一个非常强大的模型系统工具,代表其实际形状。例如,建模基础设施或社交网络自然导致图形。然而,图表可以与彼此相同的相同属性(大小,连接,社区等),并且构建能够管理图形的系统应该考虑到这种多样性。关于图形管理的大挑战是设计一个提供可扩展持久存储并允许有效浏览的系统。主要是为了研究社会图表,图表分区研究中最近的发展通常会考虑无比例图形。正如我们对建模的对象及其上下文都有兴趣,我们专注于分区几何图形。因此,我们的策略与我们认为几何为主要分区工具。事实上,我们依赖于逆空间填充分区,这是一种依赖于空间填充曲线的技术来分配图形,并先前被应用于基本上产生的图表。此外,我们向我们定义广域图的新目标延伸逆空间填充分区。我们提供与两个最先进的图形分区流策略,即LDG和茴香的扩展比较。我们还提出了定制的指标,更好地理解并确定ISP分区解决方案最适合的用例。实验表明,在有利的背景下,边缘切割可以大幅减少,使用茴香从更多34%的使用ISP少于1%。

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