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Paper · arXiv

Effective Resistance Rewiring: A Simple Topological Correction for Over-Squashing

Graph Neural Networks struggle to capture long-range dependencies due to over-squashing, where information from exponentially growing neighborhoods must pass through a small number of structural bottlenecks. While recent rewiring methods attempt to alleviate this limitation, many rely on local criteria such as curvature, which can overlook global connectivity constraints that restrict information flow. We introduce Effective Resistance Rewiring (ERR), a simple topology correction strategy that uses effective resistance as a global signal to detect structural bottlenecks. ERR iteratively adds edges between node pairs with the largest resistance while removing edges with minimal resistance,...

AuthorsBertran Miquel-Oliver, Manel Gil-Sorribes, Victor Guallar et al.
Primary categorycs.LG
Published12 March 2026
Last updated at source12 March 2026
cs.LGcs.AI
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