mlsanityData to 14 Oct 2026

SGFormer: Simplifying and Empowering Transformers for Large-Graph Representations

arXiv 2306.10759 ↗First posted 19 Jun 2023cs.LG cs.AI cs.SIcited by 133

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Abstract (arXiv)

Learning representations on large-sized graphs is a long-standing challenge due to the inter-dependence nature involved in massive data points. Transformers, as an emerging class of foundation encoders for graph-structured data, have shown promising performance on small graphs due to its global attention capable of capturing all-pair influence beyond neighboring nodes. Even so, existing approaches tend to inherit the spirit of Transformers in language and vision tasks, and embrace complicated models by stacking deep multi-head attentions. In this paper, we critically demonstrate that even using a one-layer attention can bring up surprisingly competitive performance across node property prediction benchmarks where node numbers range from thousand-level to billion-level. This encourages us to rethink the design philosophy for Transformers on large graphs, where the global attention is a computation overhead hindering the scalability. We frame the proposed scheme as Simplified Graph Transformers (SGFormer), which is empowered by a simple attention model that can efficiently propagate information among arbitrary nodes in one layer. SGFormer requires none of positional encodings, feature/graph pre-processing or augmented loss. Empirically, SGFormer successfully scales to the web-scale graph ogbn-papers100M and yields up to 141x inference acceleration over SOTA Transformers on medium-sized graphs. Beyond current results, we believe the proposed methodology alone enlightens a new technical path of independent interest for building Transformers on large graphs.

Key facts. Cited by 133 papers in the map (data through 14 Oct 2026). Builds on 54 of its 79 references that are in the map. First posted on arXiv 19 Jun 2023.

Builds on

54 of 79 references.

References · 54

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38 more
  1. 2022Recipe for a General, Powerful, Scalable Graph Transformercited by 713
  2. 2020A Generalization of Transformer Networks to Graphscited by 661
  3. 2019GraphSAINT: Graph Sampling Based Inductive Learning Methodcited by 618
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  6. 2021Rethinking Graph Transformers with Spectral Attentioncited by 473
  7. 2023A critical look at the evaluation of GNNs under heterophily: Are we really making progress?cited by 343
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  15. 2022Representing Long-Range Context for Graph Neural Networks with Global Attentioncited by 195
  16. 2022Structure-Aware Transformer for Graph Representation Learningcited by 194
  17. 2022Pure Transformers are Powerful Graph Learnerscited by 188
  18. 2022Finding Global Homophily in Graph Neural Networks When Meeting Heterophilycited by 179
  19. 2020Graph-Bert: Only Attention is Needed for Learning Graph Representationscited by 177
  20. 2022Handling Distribution Shifts on Graphs: An Invariance Perspectivecited by 164
  21. 2021Graph-less Neural Networks: Teaching Old MLPs New Tricks via Distillationcited by 152
  22. 2021GraphiT: Encoding Graph Structure in Transformerscited by 147
  23. 2016How to learn a graph from smooth signalscited by 146
  24. 2022NAGphormer: A Tokenized Graph Transformer for Node Classification in Large Graphscited by 137
  25. 2020Characteristic Functions on Graphs: Birds of a Feather, from Statistical Descriptors to Parametric Modelscited by 116
  26. 2021Global Self-Attention as a Replacement for Graph Convolutioncited by 114
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  30. 2023DIFFormer: Scalable (Graph) Transformers Induced by Energy Constrained Diffusioncited by 87
  31. 2021New Benchmarks for Learning on Non-Homophilous Graphscited by 81
  32. 2022Hierarchical Graph Transformer with Adaptive Node Samplingcited by 72
  33. 2023Energy-based Out-of-Distribution Detection for Graph Neural Networkscited by 68
  34. 2021Gophormer: Ego-Graph Transformer for Node Classificationcited by 63
  35. 2021On Joint Learning for Solving Placement and Routing in Chip Designcited by 44
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  38. 2021p-Laplacian Based Graph Neural Networkscited by 39

50 most cited of 54 All 54 (JSON)

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2023: 6; 2024: 41; 2025: 43; 2026: 43.

133 papers.

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  1. 2023Language is All a Graph Needscited by 220
  2. 2024Classic GNNs are Strong Baselines: Reassessing GNNs for Node Classificationcited by 85
  3. 2024Hypformer: Exploring Efficient Transformer Fully in Hyperbolic Spacecited by 43
  4. 2025Relational Graph Transformercited by 34
  5. 2025LLM as GNN: Graph Vocabulary Learning for Text-Attributed Graph Foundation Modelscited by 22
  6. 2025Towards Quantifying Long-Range Interactions in Graph Machine Learning: a Large Graph Dataset and a Measurementcited by 20
  7. 2024Learning Graph Quantized Tokenizerscited by 19
  8. 2024SLMRec: Distilling Large Language Models into Small for Sequential Recommendationcited by 18
  9. 2023GraphGPT: Generative Pre-trained Graph Eulerian Transformercited by 17
  10. 2024Lorentzian Residual Neural Networkscited by 17
  11. 2025Beyond Message Passing: Neural Graph Pattern Machinecited by 17
  12. 2023Enhancing Graph Transformers with Hierarchical Distance Structural Encodingcited by 16
38 more
  1. 2024Large Language Model Meets Graph Neural Network in Knowledge Distillationcited by 14
  2. 2025A Survey of Graph Transformers: Architectures, Theories and Applicationscited by 14
  3. 2024What Can We Learn from State Space Models for Machine Learning on Graphs?cited by 13
  4. 2024Graph Neural Networks in Histopathology: Emerging Trends and Future Directionscited by 13
  5. 2024Even Sparser Graph Transformerscited by 13
  6. 2025Return of ChebNet: Understanding and Improving an Overlooked GNN on Long Range Taskscited by 12
  7. 2024Towards Dynamic Message Passing on Graphscited by 11
  8. 2025Generative Graph Pattern Machinecited by 11
  9. 2024Node Identifiers: Compact, Discrete Representations for Efficient Graph Learningcited by 10
  10. 2025Biologically Plausible Brain Graph Transformercited by 10
  11. 2024Leveraging Contrastive Learning for Enhanced Node Representations in Tokenized Graph Transformerscited by 9
  12. 2024STGformer: Efficient Spatiotemporal Graph Transformer for Traffic Forecastingcited by 9
  13. 2025NetTAG: A Multimodal RTL-and-Layout-Aligned Netlist Foundation Model via Text-Attributed Graphcited by 9
  14. 2024GC4NC: A Benchmark Framework for Graph Condensation on Node Classification with New Insightscited by 7
  15. 2024Supra-Laplacian Encoding for Transformer on Dynamic Graphscited by 6
  16. 2024PreRoutGNN for Timing Prediction with Order Preserving Partition: Global Circuit Pre-training, Local Delay Learning and Attentional Cell Modelingcited by 5
  17. 2024NTFormer: A Composite Node Tokenized Graph Transformer for Node Classificationcited by 5
  18. 2024TorchGT: A Holistic System for Large-scale Graph Transformer Trainingcited by 5
  19. 2024KnowFormer: Revisiting Transformers for Knowledge Graph Reasoningcited by 5
  20. 2025Rethinking Tokenized Graph Transformers for Node Classificationcited by 5
  21. 2025DualEquiNet: A Dual-Space Hierarchical Equivariant Network for Large Biomoleculescited by 5
  22. 2025View Space: Learning Representation across Arbitrary Graphscited by 5
  23. 2024A General Graph Spectral Wavelet Convolution via Chebyshev Order Decompositioncited by 4
  24. 2024Scalable Message Passing Neural Networks: No Need for Attention in Large Graph Representation Learningcited by 4
  25. 2024Mixture of Experts Meets Decoupled Message Passing: Towards General and Adaptive Node Classificationcited by 4
  26. 2025Diffusion on Graph: Augmentation of Graph Structure for Node Classificationcited by 4
  27. 2026Fixed Aggregation Features Can Rival GNNscited by 4
  28. 2026Bridging Academia and Industry: A Comprehensive Benchmark for Attributed Graph Clusteringcited by 4
  29. 2026GIST: Gauge-Invariant Spectral Transformers for Scalable Graph Neural Operatorscited by 4
  30. 2026KAT-Coder-V2.5 Technical Reportcited by 4
  31. 2023Contextualizing MLP-Mixers Spatiotemporally for Urban Data Forecast at Scalecited by 3
  32. 2024SpikeGraphormer: A High-Performance Graph Transformer with Spiking Graph Attentioncited by 3
  33. 2024A Theory for Compressibility of Graph Transformers for Transductive Learningcited by 3
  34. 2025Plain Transformers Can be Powerful Graph Learnerscited by 3
  35. 2025Are Graph Transformers Necessary? Efficient Long-Range Message Passing with Fractal Nodes in MPNNscited by 3
  36. 2026Intrinsic Lorentz Neural Networkcited by 3
  37. 2026Graph Tokenization for Bridging Graphs and Transformerscited by 3
  38. 2026Masked BRep Autoencoder via Hierarchical Graph Transformercited by 3

50 most cited of 133 All 133 (JSON)

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  2. 2026Teaching LLMs to See Graphs: Unifying Text and Structural Reasoning
  3. 2025Towards Mechanistic Interpretability of Graph Transformers via Attention Graphs
  4. 2026DTA-GT: Direction- and Topology-Aware Graph Transformer for Neural Network Representation Learning
  5. 2024Bootstrapping Heterogeneous Graph Representation Learning via Large Language Models: A Generalized Approach
  6. 2024GraphEdit: Large Language Models for Graph Structure Learning
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