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Graph Similarity Computation (GSC) is a fundamental graph related task where Graph Edit Distance (GED) serves as a prevalent metric. GED is determined by an optimal alignment between a pair of graphs that partitions each into aligned…

Machine Learning · Computer Science 2025-11-26 Zhentao Zhan , Xiaoliang Xu , Jingjing Wang , Junmei Wang

The ability to compute similarity scores between graphs based on metrics such as Graph Edit Distance (GED) is important in many real-world applications. Computing exact GED values is typically an NP-hard problem and traditional algorithms…

Machine Learning · Computer Science 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

\Graph similarity computation is an essential task in many real-world graph-related applications such as retrieving the similar drugs given a query chemical compound or finding the user's potential friends from the social network database.…

Machine Learning · Computer Science 2024-12-18 Jingjing Wang , Hongjie Zhu , Haoran Xie , Fu Lee Wang , Xiaoliang Xu , Yuxiang Wang

Graph similarity search is a common and fundamental operation in graph databases. One of the most popular graph similarity measures is the Graph Edit Distance (GED) mainly because of its broad applicability and high interpretability.…

Databases · Computer Science 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

We consider the graph similarity computation (GSC) task based on graph edit distance (GED) estimation. State-of-the-art methods treat GSC as a learning-based prediction task using Graph Neural Networks (GNNs). To capture fine-grained…

Machine Learning · Computer Science 2024-06-24 Wei Zhuo , Guang Tan

We introduce GSimCNN (Graph Similarity Computation via Convolutional Neural Networks) for predicting the similarity score between two graphs. As the core operation of graph similarity search, pairwise graph similarity computation is a…

Machine Learning · Computer Science 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Graph similarity computation is one of the core operations in many graph-based applications, such as graph similarity search, graph database analysis, graph clustering, etc. Since computing the exact distance/similarity between two graphs…

Machine Learning · Computer Science 2021-05-18 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Graph similarity search is among the most important graph-based applications, e.g. finding the chemical compounds that are most similar to a query compound. Graph similarity computation, such as Graph Edit Distance (GED) and Maximum Common…

Machine Learning · Computer Science 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei Wang

Graph similarity is critical in graph-related tasks such as graph retrieval, where metrics like maximum common subgraph (MCS) and graph edit distance (GED) are commonly used. However, exact computations of these metrics are known to be…

Machine Learning · Computer Science 2025-10-02 Zhouyang Liu , Yixin Chen , Ning Liu , Jiezhong He , Dongsheng Li

Graph edit distance / similarity is widely used in many tasks, such as graph similarity search, binary function analysis, and graph clustering. However, computing the exact graph edit distance (GED) or maximum common subgraph (MCS) between…

Databases · Computer Science 2020-07-01 Haibo Xiu , Xiao Yan , Xiaoqiang Wang , James Cheng , Lei Cao

Graph Edit Distance (GED) is a widely used metric for measuring similarity between two graphs. Computing the optimal GED is NP-hard, leading to the development of various neural and non-neural heuristics. While neural methods have achieved…

Machine Learning · Computer Science 2025-05-06 Samidha Verma , Arushi Goyal , Ananya Mathur , Ankit Anand , Sayan Ranu

In this paper, we study the problem of graph similarity search with graph edit distance (GED) constraints. Due to the NP-hardness of GED computation, existing solutions to this problem adopt the filtering-and-verification framework with a…

Databases · Computer Science 2020-04-03 Jongik Kim

Graph similarity computation aims to predict a similarity score between one pair of graphs to facilitate downstream applications, such as finding the most similar chemical compounds similar to a query compound or Fewshot 3D Action…

Machine Learning · Computer Science 2021-01-06 Haoyan Xu , Ziheng Duan , Jie Feng , Runjian Chen , Qianru Zhang , Zhongbin Xu , Yueyang Wang

Graph similarity learning refers to calculating the similarity score between two graphs, which is required in many realistic applications, such as visual tracking, graph classification, and collaborative filtering. As most of the existing…

Machine Learning · Computer Science 2022-07-13 Di Jin , Luzhi Wang , Yizhen Zheng , Xiang Li , Fei Jiang , Wei Lin , Shirui Pan

Graph Neural Networks (GNNs) have emerged as powerful tools for predicting outcomes in graph-structured data. However, a notable limitation of GNNs is their inability to provide robust uncertainty estimates, which undermines their…

Machine Learning · Computer Science 2024-10-10 S. Akansha

The Graph Edit Distance (GED) is an important metric for measuring the similarity between two (labeled) graphs. It is defined as the minimum cost required to convert one graph into another through a series of (elementary) edit operations.…

Databases · Computer Science 2025-11-05 Andrea D'Ascenzo , Julian Meffert , Petra Mutzel , Fabrizio Rossi

Similarity search is a fundamental task for exploiting information in various applications dealing with graph data, such as citation networks or knowledge graphs. While this task has been intensively approached from heuristics to graph…

Machine Learning · Computer Science 2026-05-12 Daniel Daza , Cuong Xuan Chu , Trung-Kien Tran , Daria Stepanova , Michael Cochez , Paul Groth

Graph Neural Networks (GNNs) have achieved tremendous success in various real-world applications due to their strong ability in graph representation learning. GNNs explore the graph structure and node features by aggregating and…

Machine Learning · Computer Science 2021-03-09 Wei Jin , Tyler Derr , Yiqi Wang , Yao Ma , Zitao Liu , Jiliang Tang

Graph similarity computation (GSC) aims to quantify the similarity score between two graphs. Although recent GSC methods based on graph neural networks (GNNs) take advantage of intra-graph structures in message passing, few of them fully…

Machine Learning · Computer Science 2024-11-07 Wenjun Wang , Jiacheng Lu , Kejia Chen , Zheng Liu , Shilong Sang

Graph Edit Distance (GED) is a fundamental, albeit NP-hard, metric for structural graph similarity. Recent neural graph matching architectures approximate GED by first encoding graphs with a Graph Neural Network (GNN) and then applying…

Machine Learning · Computer Science 2026-05-08 Jyotirmaya Shivottam , Subhankar Mishra
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