MA-GTS: A Multi-Agent Framework for Solving Complex Graph Problems in Real-World Applications

Zike Yuan, Ming Liu, Hui Wang, Bing Qin


Abstract
Graph-theoretic problems arise in real-world applications like logistics, communication networks, and traffic optimization. These problems are often complex, noisy, and irregular, posing challenges for traditional algorithms. Large language models offer potential solutions but face several challenges, including limited accuracy, input length constraints, and suboptimal algorithm selection. To address these challenges, we propose MA-GTS(Multi-Agent Graph Theory Solver), a multi-agent framework that decomposes these complex problems through agent collaboration. MA-GTS maps the implicitly expressed text-based graph data into clear, structured graph representations and dynamically selects the most suitable algorithm based on problem constraints and graph structure scale. We validate MA-GTS using the G-REAL dataset, a real-world-inspired graph theory dataset we created. Experimental results show that MA-GTS outperforms state-of-the-art methods in cost-effectiveness, accuracy, and scalability, achieving strong results on multiple benchmarks (G-REAL 93.6%, GraCoRe 96.9% ,NLGraph 98.4%) with robust performance on both closed- and open-source models.
Anthology ID:
2025.emnlp-main.973
Volume:
Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing
Month:
November
Year:
2025
Address:
Suzhou, China
Editors:
Christos Christodoulopoulos, Tanmoy Chakraborty, Carolyn Rose, Violet Peng
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EMNLP
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Publisher:
Association for Computational Linguistics
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Pages:
19297–19315
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https://preview.aclanthology.org/ingest-emnlp/2025.emnlp-main.973/
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Cite (ACL):
Zike Yuan, Ming Liu, Hui Wang, and Bing Qin. 2025. MA-GTS: A Multi-Agent Framework for Solving Complex Graph Problems in Real-World Applications. In Proceedings of the 2025 Conference on Empirical Methods in Natural Language Processing, pages 19297–19315, Suzhou, China. Association for Computational Linguistics.
Cite (Informal):
MA-GTS: A Multi-Agent Framework for Solving Complex Graph Problems in Real-World Applications (Yuan et al., EMNLP 2025)
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