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Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in an undirected graph, subject to edge insertions and deletions.…

Data Structures and Algorithms · Computer Science 2008-08-11 Timothy M. Chan , Mihai Patrascu , Liam Roditty

In this paper, we propose Graph Retention Networks (GRNs) as a unified architecture for deep learning on dynamic graphs. The GRN extends the concept of retention into dynamic graph data as graph retention, equipping the model with three key…

Machine Learning · Computer Science 2026-04-14 Qian Chang , Xia Li , Xiufeng Cheng , Runsong Jia , Jinqing Yang , Guoping Hu , Ciprian Doru Giurcaneanu

Continual graph learning (CGL) is purposed to continuously update a graph model with graph data being fed in a streaming manner. Since the model easily forgets previously learned knowledge when training with new-coming data, the…

Machine Learning · Computer Science 2023-09-20 Yilun Liu , Ruihong Qiu , Zi Huang

We propose techniques for processing SPARQL queries over a large RDF graph in a distributed environment. We adopt a "partial evaluation and assembly" framework. Answering a SPARQL query Q is equivalent to finding subgraph matches of the…

Databases · Computer Science 2016-03-22 Peng Peng , Lei Zou , M. Tamer Özsu , Lei Chen , Dongyan Zhao

Streaming graphs are drawing increasing attention in both academic and industrial communities as many graphs in real applications evolve over time. Continuous subgraph matching (shorted as CSM) aims to report the incremental matches of a…

Data Structures and Algorithms · Computer Science 2023-04-26 Rongjian Yang , Zhijie Zhang , Weiguo Zheng , Jeffery Xu Yu

Differential computation (DC) is a highly general incremental computation/view maintenance technique that can maintain the output of an arbitrary and possibly recursive dataflow computation upon changes to its base inputs. As such, it is a…

Databases · Computer Science 2022-08-02 Khaled Ammar , Siddhartha Sahu , Semih Salihoglu , M. Tamer Ozsu

Subgraph isomorphism is a fundamental problem in graph analysis that seeks to find all instances of a pattern graph within a larger data graph while preserving structural relationships. This NP-complete problem is central to domains such as…

Data Structures and Algorithms · Computer Science 2026-03-09 Yulun Wang , Esteban Ginez , Jamie Friel , Yuval Baum , Jin-Sung Kim , Alex Shih , Oded Green

The core numbers of vertices in a graph are one of the most well-studied cohesive subgraph models because of the linear running time. In practice, many data graphs are dynamic graphs that are continuously changing by inserting or removing…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-14 Bin Guo , Emil Sekerinski

We study dynamic algorithms in the model of algorithms with predictions. We assume the algorithm is given imperfect predictions regarding future updates, and we ask how such predictions can be used to improve the running time. This can be…

Data Structures and Algorithms · Computer Science 2023-12-11 Jan van den Brand , Sebastian Forster , Yasamin Nazari , Adam Polak

Connectivity query processing is a fundamental problem in graph processing. Given an undirected graph and two query vertices, the problem aims to identify whether they are connected via a path. Given frequent edge updates in real graph…

Databases · Computer Science 2026-01-27 Lantian Xu , Junhua Zhang , Dong Wen , Lu Qin , Ying Zhang , Xuemin Lin

Evolving graphs in the real world are large-scale and constantly changing, as hundreds of thousands of updates may come every second. Monotonic algorithms such as Reachability and Shortest Path are widely used in real-time analytics to gain…

Databases · Computer Science 2021-06-24 Guanyu Feng , Zixuan Ma , Daixuan Li , Shengqi Chen , Xiaowei Zhu , Wentao Han , Wenguang Chen

Dynamic tree data structures maintain a forest while supporting insertion and deletion of edges and a broad set of queries in $O(\log n)$ time per operation. Such data structures are at the core of many modern algorithms. Recent work has…

Data Structures and Algorithms · Computer Science 2025-06-23 Humza Ikram , Andrew Brady , Daniel Anderson , Guy Blelloch

Nested regular path queries are used for querying graph databases and RDF triple stores. We propose a new algorithm for evaluating nested regular path queries on a graph from a set of start nodes in combined linear time. We show that this…

Computational Complexity · Computer Science 2022-08-08 Joachim Niehren , Sylvain Salvati , Rustam Azimov

In this work, we introduce a new algorithm for analyzing a diagram, which contains visual and textual information in an abstract and integrated way. Whereas diagrams contain richer information compared with individual image-based or…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Daesik Kim , Youngjoon Yoo , Jeesoo Kim , Sangkuk Lee , Nojun Kwak

Graph pattern matching algorithms to handle million-scale dynamic graphs are widely used in many applications such as social network analytics and suspicious transaction detections from financial networks. On the other hand, the computation…

Databases · Computer Science 2019-07-10 Hiroki Kanezashi , Toyotaro Suzumura , Dario Garcia-Gasulla , Min-hwan Oh , Satoshi Matsuoka

We study the problem of dynamically maintaining the connected components of an undirected graph subject to edge insertions and deletions. We give the first parallel algorithm for the problem which is work-efficient, supports batches of…

Data Structures and Algorithms · Computer Science 2024-11-19 Quinten De Man , Laxman Dhulipala , Adam Karczmarz , Jakub Łącki , Julian Shun , Zhongqi Wang

Work on knowledge graphs and graph-based data management often focus either on declarative graph query languages or on frameworks for graph analytics, where there has been little work in trying to combine both approaches. However, many…

Databases · Computer Science 2020-04-07 Aidan Hogan , Juan Reutter , Adrian Soto

Subgraph queries also known as subgraph isomorphism search is a fundamental problem in querying graph-like structured data. It consists to enumerate the subgraphs of a data graph that match a query graph. This problem arises in many…

Databases · Computer Science 2018-07-11 C. Nabti , T. Mecharnia , S. E. Boukhetta , H. Seba , K. Amrouche

Graph neural networks (GNNs) have extended the success of deep neural networks (DNNs) to non-Euclidean graph data, achieving ground-breaking performance on various tasks such as node classification and graph property prediction.…

Machine Learning · Computer Science 2021-12-17 Tianfeng Liu , Yangrui Chen , Dan Li , Chuan Wu , Yibo Zhu , Jun He , Yanghua Peng , Hongzheng Chen , Hongzhi Chen , Chuanxiong Guo

Graph pattern matching involves finding exact or approximate matches for a query subgraph in a larger graph. It has been studied extensively and has strong applications in domains such as computer vision, computational biology, social…

Databases · Computer Science 2012-08-02 Sutanay Choudhury , Lawrence Holder , George Chin , John Feo