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k-core decomposition: a tool for the visualization of large scale networks

机译:k-core分解:用于大规模可视化的工具   网络

摘要

We use the k-core decomposition to visualize large scale complex networks intwo dimensions. This decomposition, based on a recursive pruning of the leastconnected vertices, allows to disentangle the hierarchical structure ofnetworks by progressively focusing on their central cores. By using thisstrategy we develop a general visualization algorithm that can be used tocompare the structural properties of various networks and highlight theirhierarchical structure. The low computational complexity of the algorithm,O(n+e), where 'n' is the size of the network, and 'e' is the number of edges,makes it suitable for the visualization of very large sparse networks. We applythe proposed visualization tool to several real and synthetic graphs, showingits utility in finding specific structural fingerprints of computer generatedand real world networks.
机译:我们使用k核分解来可视化二维的大规模复杂网络。这种基于最小连接顶点的递归修剪的分解,可以通过逐步关注网络的中心核心来解开网络的层次结构。通过使用这种策略,我们开发了一种通用的可视化算法,该算法可用于比较各种网络的结构特性并突出其层次结构。该算法的低计算复杂度O(n + e),其中“ n”是网络的大小,而“ e”是边的数量,使其适合于非常大的稀疏网络的可视化。我们将拟议的可视化工具应用于几个真实和合成的图形,显示了其在寻找计算机生成的和真实世界的网络的特定结构指纹时的效用。

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