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Stable Community Detection in Signed Bipartite Graph: A Bitruss-Based Model
The Hong Kong University of Science and Technology Department of Computer Science and Engineering MPhil Thesis Defence Title: "Stable Community Detection in Signed Bipartite Graph: A Bitruss-Based Model" By Mr. Kai Hiu CHUNG Abstract: Signed bipartite graphs represent relationships between two sets of entities, including both positive and negative interactions, allowing for a more comprehensive modeling of real-world networks. In this work, we focus on the detection of cohesive subgraphs in signed bipartite graphs by leveraging the concept of balanced butterflies. A balanced butterfly is a cycle of length 4 that is considered stable if it contains an even number of negative edges. We propose a novel model called the balanced (k, ε)-bitruss, which provides a concise representation of cohesive signed bipartite subgraphs while enabling control over density (k) and balance (ε). We prove that finding the largest balanced (k, ε)-bitruss is NP-hard and cannot be efficiently approximated to a significant extent. Furthermore, we extend the unsigned butterfly counting framework to efficiently compute both balanced and unbalanced butterflies. Based on this technique, we develop two greedy heuristic algorithms: one that prioritizes followers and another that focuses on balanced support ratios. Experimental results demonstrate that the greedy approach based on balanced support ratios outperforms the follower-based approach in terms of both efficiency and effectiveness. Date: Friday, 1 December 2023 Time: 5:00pm - 7:00pm Venue: Room 4475 lifts 25/26 Committee Members: Prof. Lei Chen (Supervisor) Prof. Bo Li (Chairperson) Prof. Qiong Luo **** ALL are Welcome ****