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Related papers: NED: An Inter-Graph Node Metric Based On Edit Dist…

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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…

Databases · Computer Science 2024-05-29 Wenqi Marshall Guo , Jeffrey Uhlmann

There is a growing interest in designing Graph Neural Networks (GNNs) for seeded graph matching, which aims to match two unlabeled graphs using only topological information and a small set of seed nodes. However, most previous GNNs for this…

Machine Learning · Computer Science 2023-07-11 Liren Yu , Jiaming Xu , Xiaojun Lin

The problem of unsupervised learning node embeddings in graphs is one of the important directions in modern network science. In this work we propose a novel framework, which is aimed to find embeddings by \textit{discriminating…

Machine Learning · Statistics 2020-01-24 Stanislav Tsepa , Maxim Panov

The tree edit distance (TED) between two rooted ordered trees with $n$ nodes labeled from an alphabet $\Sigma$ is the minimum cost of transforming one tree into the other by a sequence of valid operations consisting of insertions, deletions…

Data Structures and Algorithms · Computer Science 2025-04-02 Jakob Nogler , Adam Polak , Barna Saha , Virginia Vassilevska Williams , Yinzhan Xu , Christopher Ye

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…

Machine Learning · Computer Science 2024-12-16 Haoran Zheng , Jieming Shi , Renchi Yang

Edge-labeled graphs are widely used to describe relationships between entities in a database. Given a query subgraph that represents an example of what the user is searching for, we study the problem of efficiently searching for similar…

Databases · Computer Science 2020-05-12 Zhaoyang Shao , Davood Rafiei , Themis Palpanas

Graphs are used in almost every scientific discipline to express relations among a set of objects. Algorithms that compare graphs, and output a closeness score, or a correspondence among their nodes, are thus extremely important. Despite…

Discrete Mathematics · Computer Science 2020-11-17 Sam Safavi , José Bento

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…

Data Structures and Algorithms · Computer Science 2019-04-22 Utkan Onur Candogan , Venkat Chandrasekaran

The network alignment (or graph matching) problem refers to recovering the node-to-node correspondence between two correlated networks. In this paper, we propose a network alignment algorithm which works without using a seed set of…

Data Structures and Algorithms · Computer Science 2020-09-29 Mahdi Bozorg , Saber Salehkaleybar , Matin Hashemi

In this work, we propose a novel knowledge graph alignment technique based upon string edit distance that exploits the type information between entities and can find similarity between relations of any arity

Artificial Intelligence · Computer Science 2020-03-31 Navdeep Kaur , Gautam Kunapuli , Sriraam Natarajan

In modern relational machine learning it is common to encounter large graphs that arise via interactions or similarities between observations in many domains. Further, in many cases the target entities for analysis are actually signals on…

Graph Anomaly Detection (GAD) is a technique used to identify abnormal nodes within graphs, finding applications in network security, fraud detection, social media spam detection, and various other domains. A common method for GAD is Graph…

Machine Learning · Computer Science 2025-01-28 Amit Roy , Juan Shu , Jia Li , Carl Yang , Olivier Elshocht , Jeroen Smeets , Pan Li

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…

Data Structures and Algorithms · Computer Science 2025-02-19 Nicolás Honorato-Droguett , Kazuhiro Kurita , Tesshu Hanaka , Hirotaka Ono

Whether comparing networks to each other or to random expectation, measuring dissimilarity is essential to understanding the complex phenomena under study. However, determining the structural dissimilarity between networks is an ill-defined…

Social and Information Networks · Computer Science 2018-07-26 Leo Torres , Pablo Suarez-Serrato , Tina Eliassi-Rad

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,…

Machine Learning · Computer Science 2024-12-30 Qihao Cheng , Da Yan , Tianhao Wu , Zhongyi Huang , Qin Zhang

Distinguishing the automorphic equivalence of nodes in a graph plays an essential role in many scientific domains, e.g., computational biologist and social network analysis. However, existing graph neural networks (GNNs) fail to capture…

Machine Learning · Computer Science 2021-11-10 Fengli Xu , Quanming Yao , Pan Hui , Yong Li

Node embedding is the task of extracting informative and descriptive features over the nodes of a graph. The importance of node embeddings for graph analytics, as well as learning tasks such as node classification, link prediction and…

Machine Learning · Computer Science 2019-06-17 Dimitris Berberidis , Georgios B. Giannakis

Graph anomaly detection aims to identify irregular patterns in graph-structured data. Most unsupervised GNN-based methods rely on the homophily assumption that connected nodes share similar attributes. However, real-world graphs often…

Machine Learning · Computer Science 2026-04-20 Zehao Wang , Lanjun Wang

Pairwise comparison of graphs is key to many applications in Machine learning ranging from clustering, kernel-based classification/regression and more recently supervised graph prediction. Distances between graphs usually rely on…

Machine Learning · Statistics 2023-09-29 Junjie Yang , Matthieu Labeau , Florence d'Alché-Buc

A partial edge drawing (PED) of a graph is a variation of a node-link diagram. PED draws a link, which is a partial visual representation of an edge, and reduces visual clutter of the node-link diagram. However, more time is required to…

Data Structures and Algorithms · Computer Science 2019-10-03 Kazuo Misue , Katsuya Akasaka
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