Awesome Theory & Expressivity
Theory & Expressivity is one of the most active areas in Awesome Graph Learning β 3,146 papers in this collection, evaluated on datasets like Cora, CiteSeer, PubMed. A strong starting point is "Improved large-scale graph learning through ridge spectral sparsification".
Datasets & benchmarks
Key papers
- Improved large-scale graph learning through ridge spectral sparsification (2026)Daniele Calandriello et al.9.39
- Graph Kernel Neural Networks (2021)Luca Cosmo et al.7.59
- Explaining GNN Explanations with Edge Gradients (2025)Jesse He et al.5.57
- When Design Rules Break: Benchmark Composition Determines Whether Label Informativeness Predicts GNN Aggregator Choice (2026)Neha Sharma et al.5.49
- Mitigating Degree Bias in Graph Representation Learning with Learnable
Structural Augmentation and Structural Self-Attention (2025)Van Thuy Hoang et al.5.35
- Recent Advances in Hypergraph Neural Networks (2025)Murong Yang et al.5.29
- Balancing Graph Embedding Smoothness in Self-Supervised Learning via
Information-Theoretic Decomposition (2025)Heesoo Jung et al.4.93
- Uncertainty-Aware Graph Structure Learning (2025)Shen Han et al.4.82
- X-Node: Self-Explanation is All We Need (2025)Prajit Sengupta and Islem Rekik4.78
- Bayesian Membership Privacy for Graph Neural Networks (2026)Sinan Y{\i}ld{\i}r{\i}m et al.4.39
- Graph Cascades: Contagion-Based Mesoscopic Rewiring for Structure-Aware Graph Machine Learning (2026)Meher Chaitanya et al.4.39
- Graph Set Transformer (2026)Jose E. Escrig Molina et al.4.39
- Graph Neural Network leveraging Higher-order Class Label Connectivity for Heterophilous Graphs (2026)Takuto Takahashi et al.4.39
- Revisiting Positive Samples in Graph Contrastive Learning: From the Perspective of Message Passing (2026)Lianze Shan et al.4.39
- ERAlign: Energy-based Representation Alignment of GNNs and LLMs on Text-attributed Graphs (2026)Xianlin Zeng et al.4.39
- LLMs+Graphs: Toward Graph-Native, Synergistic AI Systems (2026)Arijit Khan et al.4.39
- Artemis: Anatomy-Resolved inTervention for Eliminating Multimodal NeuroImage confounderS (2026)Siyuan Dai et al.4.39
- Enhanced Graph Neural Networks using K-Hop Gaussian Diffusion (2026)Xuling Zhang et al.4.39
- AGDN: Learning to Solve Traveling Salesman Problem with Anisotropic Graph Diffusion Network (2026)Bolin Shen et al.4.39
- P-K-GCN: Physics-augmented Koopman-enhanced Graph Convolutional Network for Deep Spatiotemporal Super-resolution (2026)Xizhuo (Cici) et al.4.39
- Projecting Latent RL Actions: Towards Generalizable and Scalable Graph Combinatorial Optimization (2026)Franco Terranova (UL et al.4.33
- Graph Navier Stokes Networks (2026)Zexing Zhao et al.4.33
- Gaussian Sheaf Neural Networks (2026)Andr\'e Ribeiro et al.4.33
- EvoStruct: Bridging Evolutionary and Structural Priors for Antibody CDR Design via Protein Language Model Adaptation (2026)Mansoor Ahmed et al.4.33
- Expressive Power of Deep Homomorphism Networks over Relational Databases (2026)Moritz Sch\"onherr et al.4.33
- Graph Alignment Topology as an Inductive Bias for Grounding Detection (2026)Paul Landes et al.4.33
- Weisfeiler-Leman Is Incomplete on Simple Spectrum Graphs, so Canonicalize Them (2026)Snir Hordan et al.4.33
- Relevant Walk Search for Explaining Graph Neural Networks (2026)Ping Xiong et al.4.33
- Fuzzy, Neutrosophic, and Uncertain Graph Theory: Properties and Applications (2026)Takaaki Fujita et al.4.33
- Beyond the Aggregation Dilemma: Prior-Retaining Decoupled Learning for Multimodal Graphs (2026)Hao Yan et al.4.33
- Aligning Molecular Graph Explanations with Chemical Identity via InChIfied Invariants (2026)Emanuele Guidotti et al.4.33
- Clustering as Reasoning: A $k$-Means Interpretation of Chain-of-Thought Graph Learning (2026)Xuanting Xie et al.4.33
- Revisiting Pre-Propagation GNNs: Robust Diffusion Operators and Hidden-State Re-Propagation (2026)Zichao Yue et al.4.33
- Closed-Form Node Classification with Exact Graph Unlearning (2026)Aditya Gaur et al.4.33
- What Molecular Structure Cannot Tell Us: A Taxonomy of Explainability Gaps in GNN-Based Drug Toxicity Prediction (2026)Juergen Dietrich4.33
- Provably Communication-Efficient and Privacy-Preserving Federated Graph Neural Networks (2026)Zhishuai Guo et al.4.33
- RAPNet: Accelerating Algebraic Multigrid with Learned Sparse Corrections (2026)Yali Fink et al.4.33
- T-GINEE: A Tensor-Based Multilayer Graph Representation Learning (2026)Maolin Wang et al.4.33
- A Generalized Tikhonov Layer for Interpretable-by-design Graph Neural Networks (2026)Nicolas Tremblay et al.4.33
- AbstainGNN: Teaching Graph Neural Networks to Abstain for Graph Classification (2026)Xixun Lin et al.4.33
- An Efficient and Scalable Graph Condensation with Structure-Preserving (2026)Yulin Hu et al.4.33
- Graph Neural Networks Are Not Continuous Across Graph Resolutions (2026)Christian Koke et al.4.33
- Scaling Higher-Order Graph Learning with Maximal Clique Complexes (2026)Antoine Vialle et al.4.33
- Can Classic GNNs Be Strong Baselines for Graph-level Tasks? Simple Architectures Meet Excellence (2025)Yuankai Luo et al.4.30
- Towards Mechanistic Interpretability of Graph Transformers via Attention
Graphs (2025)Batu El et al.4.30
- The Underappreciated Power of Vision Models for Graph Structural Understanding (2025)Xinjian Zhao et al.4.09
- Graph Neural Network Prediction of Nonlinear Optical Properties (2025)Yomn Alkabakibi et al.3.75
- Graph Neural Network-Driven Hierarchical Mining for Complex Imbalanced
Data (2025)Yijiashun Qi et al.3.64
- To Bin or not to Bin: Alternative Representations of Mass Spectra (2025)Niek de Jonge et al.3.64
- Efficient Transition State Searches by Freezing String Method with Graph Neural Network Potentials (2025)Jonah Marks and Joseph Gomes3.59
- Learning Non-Local Molecular Interactions via Equivariant Local Representations and Charge Equilibration (2025)Paul Fuchs et al.3.59
- Different Statistical Perspectives for Understanding Generalisation in Graph Neural Networks (2026)Nil Ayday et al.3.45
- Can Subgraph Explanations Be Weaponized to Steal Graph Neural Networks? (2026)Ojas Nimase et al.3.45
- VS-Graph: Scalable and Efficient Graph Classification Using Hyperdimensional Computing (2025)Hamed Poursiami et al.3.26
- CycleChemist: A Dual-Pronged Machine Learning Framework for Organic Photovoltaic Discovery (2025)Hou Hei Lam et al.3.21
- Multimodal Regression for Enzyme Turnover Rates Prediction (2025)Bozhen Hu et al.3.10
- A Graph-Neural-Network-Entropy model of vital node identification on network attack and propagation (2025)Huaizhi Liao et al.3.10
- GNN-based Unified Deep Learning (2025)Furkan Pala and Islem Rekik3.04
- Understanding and Tackling Over-Dilution in Graph Neural Networks (2025)Junhyun Lee et al.3.04
- Gumbel-MPNN: Graph Rewiring with Gumbel-Softmax (2025)Marcel Hoffmann and Lukas Galke and Ansgar Scherp3.04