Scalable Algorithm for Finding Balanced Subgraphs with Tolerance in Signed Networks
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911919683665920 |
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| author | Chen, Jingbang Mang, Qiuyang Zhou, Hangrui Peng, Richard Gao, Yu Ma, Chenhao |
| author_facet | Chen, Jingbang Mang, Qiuyang Zhou, Hangrui Peng, Richard Gao, Yu Ma, Chenhao |
| contents | Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced subgraph, crucial for applications like polarized community detection in social networks and portfolio analysis in finance. Traditional models, however, are limited by an assumption of perfect partitioning, which fails to mirror the complexities of real-world data. Addressing this gap, we introduce an innovative generalized balanced subgraph model that incorporates tolerance for irregularities. Our proposed region-based heuristic algorithm, tailored for this NP-hard problem, strikes a balance between low time complexity and high-quality outcomes. Comparative experiments validate its superior performance against leading solutions, delivering enhanced effectiveness (notably larger subgraph sizes) and efficiency (achieving up to 100x speedup) in both traditional and generalized contexts. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2402_05006 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scalable Algorithm for Finding Balanced Subgraphs with Tolerance in Signed Networks Chen, Jingbang Mang, Qiuyang Zhou, Hangrui Peng, Richard Gao, Yu Ma, Chenhao Social and Information Networks Data Structures and Algorithms Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced subgraph, crucial for applications like polarized community detection in social networks and portfolio analysis in finance. Traditional models, however, are limited by an assumption of perfect partitioning, which fails to mirror the complexities of real-world data. Addressing this gap, we introduce an innovative generalized balanced subgraph model that incorporates tolerance for irregularities. Our proposed region-based heuristic algorithm, tailored for this NP-hard problem, strikes a balance between low time complexity and high-quality outcomes. Comparative experiments validate its superior performance against leading solutions, delivering enhanced effectiveness (notably larger subgraph sizes) and efficiency (achieving up to 100x speedup) in both traditional and generalized contexts. |
| title | Scalable Algorithm for Finding Balanced Subgraphs with Tolerance in Signed Networks |
| topic | Social and Information Networks Data Structures and Algorithms |
| url | https://arxiv.org/abs/2402.05006 |