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Efficient Probabilistic K-Core Computation on Uncertain Graphs

机译:在不确定图上有效的概率k核计算

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As uncertainty is inherent in a wide spectrum of graph applications such as social network and brain network, it is highly demanded to re-visit classical graph problems in the context of uncertain graphs. Driven by real-applications, in this paper, we study the problem of k-core computation on uncertain graphs and propose a new model, namely (k,θ)-core, which consists of nodes with probability at least θ to be k-core member in the uncertain graph. We show the computation of (k,θ)-core is NP-hard, and hence resort to sampling based methods. Effective and efficient pruning techniques are proposed to significantly reduce the candidate size. To further reduce the cost of k-core computation on multiple sampled graphs, we design a k-core membership check algorithm following a novel expansion-based search paradigm. Extensive experiments on real-life graphs demonstrate the effectiveness and efficiency of our proposed techniques.
机译:由于不确定性是在社交网络和大脑网络等广泛的图形应用中固有的,因此在不确定图的背景下,非常需要在不确定的背景下重新访问经典图问题。由实际应用驱动,在本文中,我们研究了在不确定图上的k核计算问题并提出了一种新模型,即(k,θ) - 核,其由概率至少θ为k-的节点组成核心成员在不确定的图表中。我们展示了(k,θ)-core的计算是np-hard,因此遵循基于采样的方法。提出了有效高效的修剪技术,以显着降低候选规模。为了进一步降低多个采样图的K核计算成本,我们在基于新的扩展搜索范例之后设计了K核心成员校验算法。关于现实生活图的广泛实验证明了我们所提出的技术的有效性和效率。

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