Efficient Distributed Core Graph Decomposition

Core decomposition is one of the most fundamental problems in graph analytics, which is associated with numerous applications, such as community detection, protein network analysis, and system structure analysis. As the sizes of graphs are becoming increasingly large, it is challenging to compute core decomposition on a single machine. In this paper, we study the problem of k-Core decomposition in the distributed environment. Specifically, we propose the distributed Filter-Array k-Core (FAkCore) algorithm, which adopts the commonly used Scatter-Gather framework. We design an auxiliary data structure of running counts for each vertex to track the statistics of its neighbors' core number. It allows us to recompute the core number of a vertex only when the value is updated. Together with an enhanced message filtering mechanism, our method significantly reduces redundant computation and communication in the existing distributed k-Core decomposition algorithm. Experiments on 10 real-world graphs show that our method outperforms the baseline algorithms by 1.4 times on average and up to 2.2 times.