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相关论文: Efficient Graph Edit Distance Computation and Veri…

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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…

数据库 · 计算机科学 2020-04-03 Jongik Kim

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…

机器学习 · 计算机科学 2026-05-08 Jyotirmaya Shivottam , Subhankar Mishra

A geometric graph is a combinatorial graph, endowed with a geometry that is inherited from its embedding in a Euclidean space. Formulation of a meaningful measure of (dis-)similarity in both the combinatorial and geometric structures of two…

计算几何 · 计算机科学 2022-09-27 Sushovan Majhi , Carola Wenk

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…

机器学习 · 计算机科学 2025-11-26 Zhentao Zhan , Xiaoliang Xu , Jingjing Wang , Junmei Wang

Given a graph pair $(G^1, G^2)$, graph edit distance (GED) is defined as the minimum number of edit operations converting $G^1$ to $G^2$. GED is a fundamental operation widely used in many applications, but its exact computation is NP-hard,…

机器学习 · 计算机科学 2024-12-30 Qihao Cheng , Da Yan , Tianhao Wu , Zhongyi Huang , Qin Zhang

This report evaluates the efficiency of Graph Edit Distance (GED) computation for graph similarity search, comparing Cascading Metric Trees (CMT) with brute-force verification. Despite the anticipated advantages of CMT, our findings…

数据库 · 计算机科学 2024-05-29 Wenqi Marshall Guo , Jeffrey Uhlmann

The Graph Edit Distance (GED) problem, which aims to compute the minimum number of edit operations required to transform one graph into another, is a fundamental challenge in graph analysis with wide-ranging applications. However, due to…

机器学习 · 计算机科学 2025-03-25 Wei Huang , Hanchen Wang , Dong Wen , Wenjie Zhang , Ying Zhang , Xuemin Lin

The graph edit distance (GED) is a flexible distance measure which is widely used for inexact graph matching. Since its exact computation is NP-hard, heuristics are used in practice. A popular approach is to obtain upper bounds for GED via…

数据结构与算法 · 计算机科学 2021-01-29 David B. Blumenthal , Johann Gamper , Sébastien Bougleux , Luc Brun

Error-tolerant graph matching gathers an important family of problems. These problems aim at finding correspondences between two graphs while integrating an error model. In the Graph Edit Distance (GED) problem, the insertion/deletion of…

离散数学 · 计算机科学 2021-04-19 Romain Raveaux

Graph similarity computation (GSC) is to calculate the similarity between one pair of graphs, which is a fundamental problem with fruitful applications in the graph community. In GSC, graph edit distance (GED) and maximum common subgraph…

机器学习 · 计算机科学 2024-12-16 Haoran Zheng , Jieming Shi , Renchi Yang

The graph edit distance is used for comparing graphs in various domains. Due to its high computational complexity it is primarily approximated. Widely-used heuristics search for an optimal assignment of vertices based on the distance…

数据结构与算法 · 计算机科学 2023-12-08 Franka Bause , Christian Permann , Nils M. Kriege

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…

机器学习 · 计算机科学 2022-08-18 Haoyan Xu , Runjian Chen , Yueyang Wang , Ziheng Duan , Jie Feng

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…

机器学习 · 计算机科学 2024-06-24 Wei Zhuo , Guang Tan

\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.…

机器学习 · 计算机科学 2024-12-18 Jingjing Wang , Hongjie Zhu , Haoran Xie , Fu Lee Wang , Xiaoliang Xu , Yuxiang Wang

The graph edit distance is an intuitive measure to quantify the dissimilarity of graphs, but its computation is NP-hard and challenging in practice. We introduce methods for answering nearest neighbor and range queries regarding this…

数据库 · 计算机科学 2022-07-20 Franka Bause , Erich Schubert , Nils M. Kriege

We study Geometric Graph Edit Distance (GGED), a graph-editing model to compute the minimum edit distance of intersection graphs that uses moving objects as an edit operation. We first show an $O(n\log n)$-time algorithm that minimises the…

数据结构与算法 · 计算机科学 2025-02-19 Nicolás Honorato-Droguett , Kazuhiro Kurita , Tesshu Hanaka , Hirotaka Ono

The emergence of geometric deep learning as a novel framework to deal with graph-based representations has faded away traditional approaches in favor of completely new methodologies. In this paper, we propose a new framework able to combine…

计算机视觉与模式识别 · 计算机科学 2020-08-19 Pau Riba , Andreas Fischer , Josep Lladós , Alicia Fornés

Graph Anomaly Detection (GAD) aims to identify nodes that deviate from the majority within a graph, playing a crucial role in applications such as social networks and e-commerce. Despite the current advancements in deep learning-based GAD,…

机器学习 · 计算机科学 2025-08-20 Yunfeng Zhao , Yixin Liu , Shiyuan Li , Qingfeng Chen , Yu Zheng , Shirui Pan

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…

数据库 · 计算机科学 2020-07-01 Haibo Xiu , Xiao Yan , Xiaoqiang Wang , James Cheng , Lei Cao

The edit distance between two graphs is a widely used measure of similarity that evaluates the smallest number of vertex and edge deletions/insertions required to transform one graph to another. It is NP-hard to compute in general, and a…

数据结构与算法 · 计算机科学 2019-04-22 Utkan Onur Candogan , Venkat Chandrasekaran