Graph Kernels: A Survey
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Abstract (arXiv)
Graph kernels have attracted a lot of attention during the last decade, and have evolved into a rapidly developing branch of learning on structured data. During the past 20 years, the considerable research activity that occurred in the field resulted in the development of dozens of graph kernels, each focusing on specific structural properties of graphs. Graph kernels have proven successful in a wide range of domains, ranging from social networks to bioinformatics. The goal of this survey is to provide a unifying view of the literature on graph kernels. In particular, we present a comprehensive overview of a wide range of graph kernels. Furthermore, we perform an experimental evaluation of several of those kernels on publicly available datasets, and provide a comparative study. Finally, we discuss key applications of graph kernels, and outline some challenges that remain to be addressed.
Key facts. Cited by 44 papers in the map (data through 14 Oct 2026). First posted on arXiv 27 Apr 2019.
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Citing papers per year: 2021: 2; 2022: 11; 2023: 4; 2024: 13; 2025: 11; 2026: 3.
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- 2021Topological Graph Neural Networkscited by 87
- 2022GAUCHE: A Library for Gaussian Processes in Chemistrycited by 41
- 2023Path Neural Networks: Expressive and Accurate Graph Neural Networkscited by 32
- 2025Nested Graph Pseudo-Label Refinement for Noisy Label Domain Adaptation Learningcited by 10
- 2022Graph Anomaly Detection with Unsupervised GNNscited by 8
- 2022Micro and Macro Level Graph Modeling for Graph Variational Auto-Encoderscited by 8
- 2022Isotropic Gaussian Processes on Finite Spaces of Graphscited by 7
- 2023Efficient Graph Field Integrators Meet Point Cloudscited by 7
- 2024Gaussian process regression with Sliced Wasserstein Weisfeiler-Lehman graph kernelscited by 7
- 2022Multiscale Graph Comparison via the Embedded Laplacian Discrepancycited by 5
- 2022Generating Synthetic Mobility Networks with Generative Adversarial Networkscited by 5
- 2024Descriptive Kernel Convolution Network with Improved Random Walk Kernelcited by 5
32 more
- 2022Wasserstein Graph Distance Based on L1-Approximated Tree Edit Distance between Weisfeiler-Lehman Subtreescited by 4
- 2023Graph Classification Gaussian Processes via Spectral Featurescited by 4
- 2023Structural Node Embeddings with Homomorphism Countscited by 4
- 2025Modeling Hierarchical Spaces: A Review and Unified Framework for Surrogate-Based Architecture Designcited by 4
- 2025HGCN(O): A Self-Tuning GCN HyperModel Toolkit for Outcome Prediction in Event-Sequence Datacited by 4
- 2022TREE-G: Decision Trees Contesting Graph Neural Networkscited by 3
- 2024Fast Tree-Field Integrators: From Low Displacement Rank to Topological Transformerscited by 3
- 2024Optimal Time Complexity Algorithms for Computing General Random Walk Graph Kernels on Sparse Graphscited by 3
- 2025Global optimization of graph acquisition functions for neural architecture searchcited by 2
- 2025Computationally-efficient Graph Modeling with Refined Graph Random Featurescited by 2
- 2024Explaining the Power of Topological Data Analysis in Graph Machine Learningcited by 1
- 2024Graph Edits for Counterfactual Explanations: A comparative studycited by 1
- 2024Learning signals defined on graphs with optimal transport and Gaussian process regressioncited by 1
- 2024Exploring Consistency in Graph Representations:from Graph Kernels to Graph Neural Networkscited by 1
- 2025Scalable Sobolev IPM for Probability Measures on a Graphcited by 1
- 2025Metric Graph Kernels via the Tropical Torelli Mapcited by 1
- 2025Fast, Accurate and Interpretable Graph Classification with Topological Kernelscited by 1
- 2021Generating the Graph Gestalt: Kernel-Regularized Graph Representation Learningcited by 0
- 2022GraphDCA -- a Framework for Node Distribution Comparison in Real and Synthetic Graphscited by 0
- 2022DAMNETS: A Deep Autoregressive Model for Generating Markovian Network Time Seriescited by 0
- 2022Graph-level Neural Networks: Current Progress and Future Directionscited by 0
- 2024Multiple-Source Localization from a Single-Snapshot Observation Using Graph Bayesian Optimizationcited by 0
- 2024Graph Neural Network based Handwritten Trajectories Recognitioncited by 0
- 2024A Survey of Latent Factor Models in Recommender Systemscited by 0
- 2024A Deep Learning Framework for Evaluating Dynamic Network Generative Models and Anomaly Detectioncited by 0
- 2024GSpect: Spectral Filtering for Cross-Scale Graph Classificationcited by 0
- 2025An Efficient Orlicz-Sobolev Approach for Transporting Unbalanced Measures on a Graphcited by 0
- 2025Measuring Similarity in Causal Graphs: A Framework for Semantic and Structural Analysiscited by 0
- 2025Simplifying Graph Kernels for Efficientcited by 0
- 2026Diversity Curves for Graph Representation Learningcited by 0
- 2026A General Kernel Framework for Non-CND Distance Measures Using |D|-Dimensional Sparse Landmark Embeddingscited by 0
- 2026From Imbalance to Evidence: Deep Nonparametric Testing for Complex Data under Severe Sample Imbalancecited by 0
- 2026From Imbalance to Evidence: Deep Nonparametric Testing for Complex Data under Severe Sample Imbalance9 Oct 2026
- 2026A General Kernel Framework for Non-CND Distance Measures Using |D|-Dimensional Sparse Landmark Embeddings16 Sep 2026
- 2026Diversity Curves for Graph Representation Learning7 May 2026
- 2025Computationally-efficient Graph Modeling with Refined Graph Random Features9 Oct 2025
- 2025Fast, Accurate and Interpretable Graph Classification with Topological Kernels22 Sep 2025
- 2025Nested Graph Pseudo-Label Refinement for Noisy Label Domain Adaptation Learning1 Aug 2025
- 2025HGCN(O): A Self-Tuning GCN HyperModel Toolkit for Outcome Prediction in Event-Sequence Data30 Jul 2025
- 2025Simplifying Graph Kernels for Efficient4 Jul 2025
- 2025Modeling Hierarchical Spaces: A Review and Unified Framework for Surrogate-Based Architecture Design27 Jun 2025
- 2025Global optimization of graph acquisition functions for neural architecture search29 May 2025
- 2025Metric Graph Kernels via the Tropical Torelli Map17 May 2025
- 2025Measuring Similarity in Causal Graphs: A Framework for Semantic and Structural Analysis14 Mar 2025
32 more
- 2025An Efficient Orlicz-Sobolev Approach for Transporting Unbalanced Measures on a Graph2 Feb 2025
- 2025Scalable Sobolev IPM for Probability Measures on a Graph2 Feb 2025
- 2024Exploring Consistency in Graph Representations:from Graph Kernels to Graph Neural Networks31 Oct 2024
- 2024Learning signals defined on graphs with optimal transport and Gaussian process regression21 Oct 2024
- 2024Optimal Time Complexity Algorithms for Computing General Random Walk Graph Kernels on Sparse Graphs14 Oct 2024
- 2024GSpect: Spectral Filtering for Cross-Scale Graph Classification31 Aug 2024
- 2024Fast Tree-Field Integrators: From Low Displacement Rank to Topological Transformers22 Jun 2024
- 2024A Deep Learning Framework for Evaluating Dynamic Network Generative Models and Anomaly Detection15 Jun 2024
- 2024A Survey of Latent Factor Models in Recommender Systems28 May 2024
- 2024Graph Neural Network based Handwritten Trajectories Recognition15 May 2024
- 2024Multiple-Source Localization from a Single-Snapshot Observation Using Graph Bayesian Optimization25 Mar 2024
- 2024Descriptive Kernel Convolution Network with Improved Random Walk Kernel8 Feb 2024
- 2024Gaussian process regression with Sliced Wasserstein Weisfeiler-Lehman graph kernels6 Feb 2024
- 2024Graph Edits for Counterfactual Explanations: A comparative study21 Jan 2024
- 2024Explaining the Power of Topological Data Analysis in Graph Machine Learning8 Jan 2024
- 2023Structural Node Embeddings with Homomorphism Counts29 Aug 2023
- 2023Path Neural Networks: Expressive and Accurate Graph Neural Networks9 Jun 2023
- 2023Graph Classification Gaussian Processes via Spectral Features6 Jun 2023
- 2023Efficient Graph Field Integrators Meet Point Clouds2 Feb 2023
- 2022GAUCHE: A Library for Gaussian Processes in Chemistry6 Dec 2022
- 2022Isotropic Gaussian Processes on Finite Spaces of Graphs3 Nov 2022
- 2022Micro and Macro Level Graph Modeling for Graph Variational Auto-Encoders30 Oct 2022
- 2022Graph Anomaly Detection with Unsupervised GNNs18 Oct 2022
- 2022Wasserstein Graph Distance Based on L1-Approximated Tree Edit Distance between Weisfeiler-Lehman Subtrees9 Jul 2022
- 2022TREE-G: Decision Trees Contesting Graph Neural Networks6 Jul 2022
- 2022Graph-level Neural Networks: Current Progress and Future Directions31 May 2022
- 2022DAMNETS: A Deep Autoregressive Model for Generating Markovian Network Time Series28 Mar 2022
- 2022Generating Synthetic Mobility Networks with Generative Adversarial Networks22 Feb 2022
- 2022GraphDCA -- a Framework for Node Distribution Comparison in Real and Synthetic Graphs8 Feb 2022
- 2022Multiscale Graph Comparison via the Embedded Laplacian Discrepancy28 Jan 2022
- 2021Generating the Graph Gestalt: Kernel-Regularized Graph Representation Learning29 Jun 2021
- 2021Topological Graph Neural Networks15 Feb 2021
- 2021Topological Graph Neural Networkscited by 87
- 2022GAUCHE: A Library for Gaussian Processes in Chemistrycited by 41
- 2023Path Neural Networks: Expressive and Accurate Graph Neural Networkscited by 32
- 2025Nested Graph Pseudo-Label Refinement for Noisy Label Domain Adaptation Learningcited by 10
- 2022Graph Anomaly Detection with Unsupervised GNNscited by 8
- 2022Micro and Macro Level Graph Modeling for Graph Variational Auto-Encoderscited by 8
- 2022Isotropic Gaussian Processes on Finite Spaces of Graphscited by 7
- 2023Efficient Graph Field Integrators Meet Point Cloudscited by 7
- 2024Gaussian process regression with Sliced Wasserstein Weisfeiler-Lehman graph kernelscited by 7
- 2022Multiscale Graph Comparison via the Embedded Laplacian Discrepancycited by 5
- 2022Generating Synthetic Mobility Networks with Generative Adversarial Networkscited by 5
- 2024Descriptive Kernel Convolution Network with Improved Random Walk Kernelcited by 5
12 most cited of 43 All 43 (JSON)
- 2026From Imbalance to Evidence: Deep Nonparametric Testing for Complex Data under Severe Sample Imbalance9 Oct 2026
- 2026A General Kernel Framework for Non-CND Distance Measures Using |D|-Dimensional Sparse Landmark Embeddings16 Sep 2026
- 2026Diversity Curves for Graph Representation Learning7 May 2026
- 2025Computationally-efficient Graph Modeling with Refined Graph Random Features9 Oct 2025
- 2025Fast, Accurate and Interpretable Graph Classification with Topological Kernels22 Sep 2025
- 2025Nested Graph Pseudo-Label Refinement for Noisy Label Domain Adaptation Learning1 Aug 2025
- 2025HGCN(O): A Self-Tuning GCN HyperModel Toolkit for Outcome Prediction in Event-Sequence Data30 Jul 2025
- 2025Simplifying Graph Kernels for Efficient4 Jul 2025
- 2025Modeling Hierarchical Spaces: A Review and Unified Framework for Surrogate-Based Architecture Design27 Jun 2025
- 2025Global optimization of graph acquisition functions for neural architecture search29 May 2025
- 2025Metric Graph Kernels via the Tropical Torelli Map17 May 2025
- 2025Measuring Similarity in Causal Graphs: A Framework for Semantic and Structural Analysis14 Mar 2025
12 newest of 43 All 43 (JSON)