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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 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 Edit Distance (GED) is defined as the minimum cost transformation of one graph into another and is a widely adopted metric for measuring the dissimilarity between graphs. The major problem of GED is that its computation is NP-hard,…

机器学习 · 计算机科学 2026-02-24 Francesco Leonardi , Markus Orsi , Jean-Louis Reymond , Kaspar Riesen

\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

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

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…

机器学习 · 计算机科学 2018-11-15 Yunsheng Bai , Hao Ding , Yizhou Sun , Wei Wang

Graph Edit Distance (GED) is a widely used measure of graph similarity, valued for its flexibility in encoding domain knowledge through operation costs. However, existing learning-based approximation methods follow a modeling paradigm that…

机器学习 · 计算机科学 2026-02-26 Zhouyang Liu , Ning Liu , Yixin Chen , Jiezhong He , Shuai Ma , Dongsheng Li

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…

机器学习 · 计算机科学 2020-03-03 Yunsheng Bai , Hao Ding , Song Bian , Ting Chen , Yizhou Sun , Wei 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.…

数据库 · 计算机科学 2018-01-25 Zijian Li , Xun Jian , Xiang Lian , Lei Chen

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…

机器学习 · 计算机科学 2024-11-07 Wenjun Wang , Jiacheng Lu , Kejia Chen , Zheng Liu , Shilong Sang

Computing efficiently a robust measure of similarity or dissimilarity between graphs is a major challenge in Pattern Recognition. The Graph Edit Distance (GED) is a flexible measure of dissimilarity between graphs which arises in…

数据结构与算法 · 计算机科学 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

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…

机器学习 · 计算机科学 2021-05-18 Yunsheng Bai , Hao Ding , 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…

机器学习 · 计算机科学 2025-10-02 Zhouyang Liu , Yixin Chen , Ning Liu , Jiezhong He , Dongsheng Li

Among various distance functions for graphs, graph and subgraph edit distances (GED and SED respectively) are two of the most popular and expressive measures. Unfortunately, exact computations for both are NP-hard. To overcome this…

Graph Edit Distance (GED) measures the (dis-)similarity between two given graphs, in terms of the minimum-cost edit sequence that transforms one graph to the other. However, the exact computation of GED is NP-Hard, which has recently…

机器学习 · 计算机科学 2024-11-05 Eeshaan Jain , Indradyumna Roy , Saswat Meher , Soumen Chakrabarti , Abir De

Graph Edit Distance (GED) is a fundamental graph similarity metric widely used in various applications. However, computing GED is an NP-hard problem. Recent state-of-the-art hybrid GED solver has shown promising performance by formulating…

机器学习 · 计算机科学 2025-10-14 Wei Huang , Hanchen Wang , Dong Wen , Shaozhen Ma , Wenjie Zhang , Xuemin Lin

Graph condensation (GC) is an emerging technique designed to learn a significantly smaller graph that retains the essential information of the original graph. This condensed graph has shown promise in accelerating graph neural networks…

机器学习 · 计算机科学 2025-11-11 Shengbo Gong , Juntong Ni , Noveen Sachdeva , Carl Yang , Wei Jin

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.…

数据库 · 计算机科学 2025-11-05 Andrea D'Ascenzo , Julian Meffert , Petra Mutzel , Fabrizio Rossi

Due to their capacity to encode rich structural information, labeled graphs are often used for modeling various kinds of objects such as images, molecules, and chemical compounds. If pattern recognition problems such as clustering and…

数据结构与算法 · 计算机科学 2019-08-02 David B. Blumenthal
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