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Computing Communities in Large Networks Using Random Walks

机译:使用随机游走计算大型网络中的社区

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Dense subgraphs of sparse graphs (communities), which appear in most real-world complex networks, play an important role in many contexts. Computing them however is generally expensive. We propose here a measure of similarities between vertices based on random walks which has several important advantages: it captures well the community structure in a network, it can be computed efficiently, it works at various scales, and it can be used in an agglomerative algorithm to compute efficiently the community structure of a network. We propose such an algorithm which runs in time O(mn~2) and space O(n~2) in the worst case, and in time O(n~2 log n) and space O(n~2) in most real-world cases (n and m are respectively the number of vertices and edges in the input graph).
机译:稀疏图(社区)的密集子图出现在大多数现实世界的复杂网络中,在许多情况下都起着重要作用。但是,计算它们通常很昂贵。我们在这里提出一种基于随机游走的顶点之间相似度的度量,该度量具有几个重要的优点:它可以很好地捕获网络中的社区结构,可以高效地进行计算,可以在各种规模下运行,并且可以在凝聚算法中使用有效地计算网络的社区结构。我们提出了一种在最坏的情况下在时间O(mn〜2)和空间O(n〜2)以及在最真实的情况下在时间O(n〜2 log n)和空间O(n〜2)中运行的算法-world案例(n和m分别是输入图中顶点和边的数量)。

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