Efficient Influential Community Search in Large Uncertain Graphs

Abstract

Influential community search aims to find cohesive subgraphs (communities) with considerable influence. It is a fundamental graph management operator that can play a crucial role in biological network analysis, activity organization, and other real-life applications. Existing research on influential community search is mainly focused on deterministic graphs with the assumption that influences between entities are certain. This assumption is invalid in many cases because it ignores the uncertainty which is an inherent property of influence. Against this backdrop, in this paper, we introduce an uncertain influential community model, namely <inline-formula><tex-math notation="LaTeX">$(k, \eta)$</tex-math></inline-formula> -influential community, based on which the influential community search problem over uncertain graphs is formulated. Furthermore, we propose an online approach by integrating a peeling-pruning strategy that can progressively refine the given uncertain graph to find the <inline-formula><tex-math notation="LaTeX">$(k, \eta)$</tex-math></inline-formula> -influential communities. To further improve the search performance, two novel indexes, ICU-Index and FICU-Index, are developed to organize the <inline-formula><tex-math notation="LaTeX">$(k, \eta)$</tex-math></inline-formula> -influential communities at different probabilistic intervals. The indexes decompose the probabilistic interval into multiple subintervals and based on this, the <inline-formula><tex-math notation="LaTeX">$(k, \eta)$</tex-math></inline-formula> -influential communities are divided into different groups in turn. Compared with ICU-Index, FICU-Index requires considerably less space with the introduction of two optimization strategies. These indexes help obtain results of an influential community search problem more efficiently. Extensive experiments on large real and synthetic datasets demonstrate the efficiency and effectiveness of our proposed algorithms.