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The graph edit distance (GED) is a well-established distance measure widely used in many applications. However, existing methods for the GED computation suffer from several drawbacks including oversized search space, huge memory…

Data Structures and Algorithms · Computer Science 2017-10-02 Xiaoyang Chen , Hongwei Huo , Jun Huan , Jeffrey Scott Vitter

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

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

Graph edit distance (GED) is an important similarity measure adopted in a similarity-based analysis between two graphs, and computing GED is a primitive operator in graph database analysis. Partially due to the NP-hardness, the existing…

Databases · Computer Science 2017-10-03 Lijun Chang , Xing Feng , Xuemin Lin , Lu Qin , Wenjie Zhang

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…

Data Structures and Algorithms · Computer Science 2023-12-08 Franka Bause , Christian Permann , Nils M. Kriege

Graph edit distance (GED) is a powerful and flexible graph matching paradigm that can be used to address different tasks in structural pattern recognition, machine learning, and data mining. In this paper, some new binary linear programming…

Data Structures and Algorithms · Computer Science 2015-05-22 Julien Lerouge , Zeina Abu-Aisheh , Romain Raveaux , Pierre Héroux , Sébastien Adam

Finding the graphs that are most similar to a query graph in a large database is a common task with various applications. A widely-used similarity measure is the graph edit distance, which provides an intuitive notion of similarity and…

Databases · Computer Science 2021-10-05 Franka Bause , David B. Blumenthal , Erich Schubert , Nils M. Kriege

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

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

This paper revisits recent code similarity evaluation metrics, particularly focusing on the application of Abstract Syntax Tree (AST) editing distance in diverse programming languages. In particular, we explore the usefulness of these…

Computation and Language · Computer Science 2025-06-06 Yewei Song , Cedric Lothritz , Daniel Tang , Tegawendé F. Bissyandé , Jacques Klein

Node similarity is a fundamental problem in graph analytics. However, node similarity between nodes in different graphs (inter-graph nodes) has not received a lot of attention yet. The inter-graph node similarity is important in learning a…

Databases · Computer Science 2016-02-17 Haohan Zhu , Xianrui Meng , George Kollios

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…

Computational Geometry · Computer Science 2022-09-27 Sushovan Majhi , Carola Wenk

Graph representation is a powerful abstraction of real-world objects and relations. Computing the Graph Edit Distance (GED) between graphs is critical in domains such as bioinformatics, machine learning, and pattern recognition. GED…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Adel Dabah , Andreas Herten

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,…

Machine Learning · Computer Science 2026-02-24 Francesco Leonardi , Markus Orsi , Jean-Louis Reymond , Kaspar Riesen

Topological structures such as the merge tree provide an abstract and succinct representation of scalar fields. They facilitate effective visualization and interactive exploration of feature-rich data. A merge tree captures the topology of…

Computational Geometry · Computer Science 2024-06-06 Raghavendra Sridharamurthy , Talha Bin Masood , Adhitya Kamakshidasan , Vijay Natarajan

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…

Data Structures and Algorithms · Computer Science 2015-12-24 Sébastien Bougleux , Luc Brun , Vincenzo Carletti , Pasquale Foggia , Benoit Gaüzère , Mario Vento

Graph Edit Distance (GED) is a general and domain-agnostic metric to measure graph similarity, widely used in graph search or retrieving tasks. However, the exact GED computation is known to be NP-complete. For instance, the widely used A*…

Machine Learning · Computer Science 2023-11-07 Junfeng Liu , Min Zhou , Shuai Ma , Lujia Pan

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…

Machine Learning · Computer Science 2023-04-25 Rishabh Ranjan , Siddharth Grover , Sourav Medya , Venkatesan Chakaravarthy , Yogish Sabharwal , Sayan Ranu

Graph Edit Distance (GED) is a popular similarity measurement for pairwise graphs and it also refers to the recovery of the edit path from the source graph to the target graph. Traditional A* algorithm suffers scalability issues due to its…

Machine Learning · Computer Science 2020-12-03 Runzhong Wang , Tianqi Zhang , Tianshu Yu , Junchi Yan , Xiaokang Yang

Similarity search, the task of identifying objects most similar to a given query object under a specific metric, has gathered significant attention due to its practical applications. However, the absence of coordinate information to…

Databases · Computer Science 2024-05-14 Yifan Zhu , Ruiyao Ma , Baihua Zheng , Xiangyu Ke , Lu Chen , Yunjun Gao
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