Solves GNN over-squashing by using global effective resistance to identify and rewire structural bottlenecks.
March 13, 2026
Original Paper
Effective Resistance Rewiring: A Simple Topological Correction for Over-Squashing
arXiv · 2603.11944
The Takeaway
Unlike previous local curvature methods, Effective Resistance Rewiring (ERR) uses a global connectivity signal to detect weak communication pathways. This significantly improves long-range dependencies in Graph Neural Networks without unnecessary densification.
From the abstract
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 u