arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2007.11111cs.SIcs.DMmath.ATstat.CO
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稀疏图的快速Graphlet变换

Fast Graphlet Transform of Sparse Graphs

Dimitris Floros, Nikos Pitsianis, Xiaobai Sun

摘要:

介绍了稀疏大型图的图子变换的计算问题。小图是所有图/网络的基本拓扑元素。它们可以被用作编码元素,在多个粒度级别上编码图拓扑信息,用于对同一图/网络上的顶点进行分类,以及用于在不同网络之间进行区分或连接。使用graphlets的网络/图形分析具有越来越多的应用。我们认识到使用多个graphlet的普遍性和增加的编码容量,我们解决了所产生的计算复杂性问题,我们提出了一个快速的方法,精确的graphlet变换。快速graphlet变换建立了几个显着的记录在一次高计算效率,低内存消耗,并准备翻译为高性能的程序和实现。它的目的是启用和推进网络/图形分析与graphlets,并介绍了相对较新的分析设备,图论,高性能图形计算,和更广泛的应用。

英文摘要:

We introduce the computational problem of graphlet transform of a sparse large graph. Graphlets are fundamental topology elements of all graphs/networks. They can be used as coding elements to encode graph-topological information at multiple granularity levels for classifying vertices on the same graph/network as well as for making differentiation or connection across different networks. Network/graph analysis using graphlets has growing applications. We recognize the universality and increased encoding capacity in using multiple graphlets, we address the arising computational complexity issues, and we present a fast method for exact graphlet transform. The fast graphlet transform establishes a few remarkable records at once in high computational efficiency, low memory consumption, and ready translation to high-performance program and implementation. It is intended to enable and advance network/graph analysis with graphlets, and to introduce the relatively new analysis apparatus to graph theory, high-performance graph computation, and broader applications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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