Leave Graphs Alone: Addressing Over-Squashing without Rewiring
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Abstract (arXiv)
Recent works have investigated the role of graph bottlenecks in preventing long-range information propagation in message-passing graph neural networks, causing the so-called `over-squashing' phenomenon. As a remedy, graph rewiring mechanisms have been proposed as preprocessing steps. Graph Echo State Networks (GESNs) are a reservoir computing model for graphs, where node embeddings are recursively computed by an untrained message-passing function. In this paper, we show that GESNs can achieve a significantly better accuracy on six heterophilic node classification tasks without altering the graph connectivity, thus suggesting a different route for addressing the over-squashing problem.
Key facts. Cited by 14 papers in the map (data through 14 Oct 2026). Builds on 13 of its 27 references that are in the map. First posted on arXiv 13 Dec 2022.
Builds on
13 of 27 references.
References · 13
- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
- 2019A Comprehensive Survey on Graph Neural Networkscited by 2,919
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- 2018Deeper Insights into Graph Convolutional Networks for Semi-Supervised Learningcited by 1,102
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- 2019Measuring and Relieving the Over-smoothing Problem for Graph Neural Networks from the Topological Viewcited by 545
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1 more
- 2022Beyond Homophily with Graph Echo State Networkscited by 2
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Citing papers per year: 2023: 5; 2024: 2; 2025: 5; 2026: 2.
14 papers.
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- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreachingcited by 24
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive surveycited by 23
- 2023Exposition on over-squashing problem on GNNs: Current Methods, Benchmarks and Challengescited by 22
- 2025Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learningcited by 19
- 2023Correlation-aware Spatial-Temporal Graph Learning for Multivariate Time-series Anomaly Detectioncited by 18
- 2025Mitigating Over-Squashing in Graph Neural Networks by Spectrum-Preserving Sparsificationcited by 8
- 2025Over-squashing in Spatiotemporal Graph Neural Networkscited by 6
- 2024Foundations and Frontiers of Graph Learning Theorycited by 3
- 2023An Empirical Evaluation of Rewiring Approaches in Graph Neural Networkscited by 2
- 2025Performance Heterogeneity in Graph Neural Networks: Lessons for Architecture Design and Preprocessingcited by 2
- 2024Conditional Shift-Robust Conformal Prediction for Graph Neural Networkcited by 1
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulationscited by 1
2 more
- 2026Reservoir-Based Graph Convolutional Networks25 Mar 2026
- 2026Probing Graph Neural Network Activation Patterns Through Graph Topology24 Feb 2026
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulations16 Nov 2025
- 2025Mitigating Over-Squashing in Graph Neural Networks by Spectrum-Preserving Sparsification19 Jun 2025
- 2025Over-squashing in Spatiotemporal Graph Neural Networks18 Jun 2025
- 2025Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learning21 May 2025
- 2025Performance Heterogeneity in Graph Neural Networks: Lessons for Architecture Design and Preprocessing1 Mar 2025
- 2024Foundations and Frontiers of Graph Learning Theory3 Jul 2024
- 2024Conditional Shift-Robust Conformal Prediction for Graph Neural Network20 May 2024
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreaching27 Dec 2023
- 2023Exposition on over-squashing problem on GNNs: Current Methods, Benchmarks and Challenges13 Nov 2023
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive survey29 Aug 2023
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreachingcited by 24
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive surveycited by 23
- 2023Exposition on over-squashing problem on GNNs: Current Methods, Benchmarks and Challengescited by 22
- 2025Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learningcited by 19
- 2023Correlation-aware Spatial-Temporal Graph Learning for Multivariate Time-series Anomaly Detectioncited by 18
- 2025Mitigating Over-Squashing in Graph Neural Networks by Spectrum-Preserving Sparsificationcited by 8
- 2025Over-squashing in Spatiotemporal Graph Neural Networkscited by 6
- 2024Foundations and Frontiers of Graph Learning Theorycited by 3
- 2023An Empirical Evaluation of Rewiring Approaches in Graph Neural Networkscited by 2
- 2025Performance Heterogeneity in Graph Neural Networks: Lessons for Architecture Design and Preprocessingcited by 2
- 2024Conditional Shift-Robust Conformal Prediction for Graph Neural Networkcited by 1
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulationscited by 1
12 most cited of 14 All 14 (JSON)
- 2026Reservoir-Based Graph Convolutional Networks25 Mar 2026
- 2026Probing Graph Neural Network Activation Patterns Through Graph Topology24 Feb 2026
- 2025Adaptive Graph Rewiring to Mitigate Over-Squashing in Mesh-Based GNNs for Fluid Dynamics Simulations16 Nov 2025
- 2025Mitigating Over-Squashing in Graph Neural Networks by Spectrum-Preserving Sparsification19 Jun 2025
- 2025Over-squashing in Spatiotemporal Graph Neural Networks18 Jun 2025
- 2025Oversmoothing, Oversquashing, Heterophily, Long-Range, and more: Demystifying Common Beliefs in Graph Machine Learning21 May 2025
- 2025Performance Heterogeneity in Graph Neural Networks: Lessons for Architecture Design and Preprocessing1 Mar 2025
- 2024Foundations and Frontiers of Graph Learning Theory3 Jul 2024
- 2024Conditional Shift-Robust Conformal Prediction for Graph Neural Network20 May 2024
- 2023Adaptive Message Passing: A General Framework to Mitigate Oversmoothing, Oversquashing, and Underreaching27 Dec 2023
- 2023Exposition on over-squashing problem on GNNs: Current Methods, Benchmarks and Challenges13 Nov 2023
- 2023Over-Squashing in Graph Neural Networks: A Comprehensive survey29 Aug 2023
12 newest of 14 All 14 (JSON)