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Paper · arXiv

Dual-GNN Multilevel Coarsening for Maximum Independent Set

The maximum independent set (MIS) problem is a fundamental NP-hard combinatorial optimization problem with applications in scheduling, resource allocation, and network analysis. Exact solvers can provide high-quality solutions or optimality certificates, but their computational cost grows rapidly with graph size, while hand-crafted heuristics improve scalability at the expense of guarantees. Learning-based methods offer an alternative by exploiting structural patterns across graph instances, yet directly predicting independent sets can make global coordination difficult on large graphs. We instead use learning to guide multilevel graph coarsening while retaining combinatorial search for f...

AuthorsTianfeng Chen, Xianyue Li
Primary categorycs.LG
Published21 September 2026
Last updated at source23 September 2026
cs.LGmath.CO
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