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Community detection is a fundamental task in graph mining. Despite the fact that most of existing community detection methods are devoted to finding disjoint community structure, communities often overlap with each other and are recursively organized in a hierarchical structure in many real-world networks. Also, finding hierarchical overlapping community structure has significant implications in many real-world applications. Some of the few existing attempts suffer from the problem that the obtained community structure is sensitive to network changes as they are based heavily on one-hop node proximity to detect communities. To tackle this problem, we propose a robust hierarchical overlapping community detection method with Personalized PageRank (PPR), which is often regarded as a prevalent metric to measure node proximity globally. Specifically, motivated by the agglomerative hierarchical clustering method, we present an effective and efficient mechanism to merge small communities and form hierarchically organized overlapping communities. Experimental results on both synthetic and real-world networks corroborate the effectiveness and robustness of the proposed framework. In addition, we introduce how to make use of the detected community structure to perform various node proximity queries such as the top-<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> structural hole spanner query and the top-<inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula> heterogeneous node query, which can help us gain more insights on the underlying network.

Robust Hierarchical Overlapping Community Detection With Personalized PageRank