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The graph traversal edit distance (GTED), introduced by Ebrahimpour Boroojeny et al.~(2018), is an elegant distance measure defined as the minimum edit distance between strings reconstructed from Eulerian trails in two edge-labeled graphs.…

Discrete Mathematics · Computer Science 2023-11-10 Yutong Qiu , Yihang Shen , Carl Kingsford

Edit-distance-based string similarity search has many applications such as spell correction, data de-duplication, and sequence alignment. However, computing edit distance is known to have high complexity, which makes string similarity…

Databases · Computer Science 2020-05-25 Xinyan Dai , Xiao Yan , Kaiwen Zhou , Yuxuan Wang , Han Yang , James Cheng

This paper presents a spectral framework for quantifying the differentiation between graph data samples by introducing a novel metric named Graph Geodesic Distance (GGD). For two different graphs with the same number of nodes, our framework…

Machine Learning · Computer Science 2025-08-18 Soumen Sikder Shuvo , Ali Aghdaei , Zhuo Feng

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

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

Generating realistic graph-structured data is challenging due to discrete connectivity, varying graph sizes, and class-specific structural patterns. Recent Generative Adversarial Networks (GAN)-based graph generation methods improve edge…

Machine Learning · Computer Science 2026-05-29 James Sargant , Seyedeh Ava Razi Razavi , Renata Dividino , Sheridan Houghten

Quantifying the similarity between two graphs is a fundamental algorithmic problem at the heart of many data analysis tasks for graph-based data. In this paper, we study the computational complexity of a family of similarity measures based…

Discrete Mathematics · Computer Science 2022-07-04 Timo Gervens , Martin Grohe

With the ubiquitous graph-structured data in various applications, models that can learn compact but expressive vector representations of nodes have become highly desirable. Recently, bearing the message passing paradigm, graph neural…

Social and Information Networks · Computer Science 2021-04-13 Tong Chen , Hongzhi Yin , Jie Ren , Zi Huang , Xiangliang Zhang , Hao Wang

Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative…

Machine Learning · Computer Science 2026-01-21 Salvatore Romano , Marco Grassia , Giuseppe Mangioni

In recent years, Graph Convolutional Networks (GCNs) have achieved great success in learning from graph-structured data. With the growing tendency of graph nodes and edges, GCN training by single processor cannot meet the demand for time…

Machine Learning · Computer Science 2021-10-08 Taige Zhao , Xiangyu Song , Jianxin Li , Wei Luo , Imran Razzak

How to dynamically measure the local-to-global spatio-temporal coherence between demand and supply networks is a fundamental task for ride-sourcing platforms, such as DiDi. Such coherence measurement is critically important for the…

Optimization and Control · Mathematics 2021-03-24 Fan Zhou , Shikai Luo , Xiaohu Qie , Jieping Ye , Hongtu Zhu

This paper studies the discovery of approximate rules in property graphs. We propose a semantically meaningful measure of error for mining graph entity dependencies (GEDs) at almost hold, to tolerate errors and inconsistencies that exist in…

Applications based on image retrieval require editing and associating in intermediate spaces that are representative of the high-level concepts like objects and their relationships rather than dense, pixel-level representations like RGB…

Computer Vision and Pattern Recognition · Computer Science 2022-07-11 Rishi Agarwal , Tirupati Saketh Chandra , Vaidehi Patil , Aniruddha Mahapatra , Kuldeep Kulkarni , Vishwa Vinay

Graph entity dependencies (GEDs) are novel graph constraints, unifying keys and functional dependencies, for property graphs. They have been found useful in many real-world data quality and data management tasks, including fact checking on…

Databases · Computer Science 2023-07-04 Dehua Liu , Selasi Kwashie , Yidi Zhang , Guangtong Zhou , Michael Bewong , Xiaoying Wu , Xi Guo , Keqing He , Zaiwen Feng

The central challenge in automated synthesis planning is to be able to generate and predict outcomes of a diverse set of chemical reactions. In particular, in many cases, the most likely synthesis pathway cannot be applied due to additional…

Despite Graph Neural Networks (GNNs) have achieved prominent success in many graph-based learning problem, such as credit risk assessment in financial networks and fake news detection in social networks. However, the trained GNNs still make…

Machine Learning · Computer Science 2023-05-26 Zirui Liu , Zhimeng Jiang , Shaochen Zhong , Kaixiong Zhou , Li Li , Rui Chen , Soo-Hyun Choi , Xia Hu

This paper proposes to use graph neural networks (GNNs) for equalization, that can also be used to perform joint equalization and decoding (JED). For equalization, the GNN is build upon the factor graph representations of the channel, while…

Information Theory · Computer Science 2024-01-30 Jannis Clausius , Marvin Geiselhart , Daniel Tandler , Stephan ten Brink

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

Subgraph similarity search, one of the core problems in graph search, concerns whether a target graph approximately contains a query graph. The problem is recently touched by neural methods. However, current neural methods do not consider…

Machine Learning · Computer Science 2022-10-20 Linfeng Liu , Xu Han , Dawei Zhou , Li-Ping Liu

Graph neural networks (GNN) have recently emerged as a vehicle for applying deep network architectures to graph and relational data. However, given the increasing size of industrial datasets, in many practical situations the message passing…

Machine Learning · Computer Science 2021-11-16 Qingru Zhang , David Wipf , Quan Gan , Le Song