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arXiv

TopoPlanner lifts tool dependency graphs into cellular complexes, making loop and merge regions explicit as 2-cells and beating GTool and other baselines on n-F1, l-F1 and ACC across four tool-planning benchmarks

The authors present TopoPlanner, which lifts a tool dependency graph into a cellular workflow complex, attaches a 2-cell along each fundamental cycle induced by non-tree edges, retrieves a request-relevant boundary-closed subcomplex through cosheaf-consistent cellular retrieval, performs multi-dimensional structural reasoning, and injects the resulting cellular representation into the planner LLM as a soft graph token; on topology-guided extensions of the three TaskBench domains and ToolBench, it outperforms prompt-based and graph-enhanced baselines across Vicuna-7B/13B and CodeLlama-7B/13B, for example raising Multimedia/Vicuna-7B n-F1/l-F1/ACC from GTool's 47.17/19.64/7.07 to 86.80/66.24/54.76.