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We study the dynamic connectivity problem for massive, dense graphs. Our goal is to build a system for dense graphs that simultaneously answers connectivity queries quickly, maintains a fast update throughput, and a uses a small amount of…

Data Structures and Algorithms · Computer Science 2025-09-19 Quinten De Man , Qamber Jafri , Daniel Delayo , Evan T. West , Michael A. Bender , David Tench

In this work, we propose D3-Tree, a dynamic distributed deterministic structure for data management in decentralized networks. We present in brief the theoretical algorithmic analysis, in which our proposed structure is based on, and we…

Data Structures and Algorithms · Computer Science 2015-03-30 Efrosini Sourla , Spyros Sioutas , Kostas Tsichlas , Christos Zaroliagis

The growing size of graph-based modeling artifacts in model-driven engineering calls for techniques that enable efficient execution of graph queries. Incremental approaches based on the RETE algorithm provide an adequate solution in many…

Logic in Computer Science · Computer Science 2026-01-14 Matthias Barkowsky , Holger Giese

We consider dynamic subgraph connectivity problems for planar graphs. In this model there is a fixed underlying planar graph, where each edge and vertex is either "off" (failed) or "on" (recovered). We wish to answer connectivity queries…

Data Structures and Algorithms · Computer Science 2012-04-24 Glencora Borradaile , Seth Pettie , Christian Wulff-Nilsen

We introduce the problem of finding a spanning tree along with a partition of the tree edges into fewest number of feasible sets, where constraints on the edges define feasibility. The motivation comes from wireless networking, where we…

Networking and Internet Architecture · Computer Science 2018-03-14 Magnus M. Halldorsson , Guy Kortsarz , Pradipta Mitra , Tigran Tonoyan

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Data generation is a fundamental research problem in data management due to its diverse use cases, ranging from testing database engines to data-specific applications. However, real-world entities often involve complex interactions that…

Databases · Computer Science 2024-12-13 Fan Li , Xiaoyang Wang , Dawei Cheng , Cong Chen , Ying Zhang , Xuemin Lin

After the phenomenal success of the PageRank algorithm, many researchers have extended the PageRank approach to ranking graphs with richer structures beside the simple linkage structure. In some scenarios we have to deal with…

Numerical Analysis · Mathematics 2018-11-15 Gianna M. Del Corso , Francesco Romani

Acting on time-critical events by processing ever growing social media or news streams is a major technical challenge. Many of these data sources can be modeled as multi-relational graphs. Continuous queries or techniques to search for rare…

Databases · Computer Science 2013-03-12 Sutanay Choudhury , Lawrence B. Holder , Abhik Ray , George Chin , John T. Feo

Graph-structured data, prevalent in domains ranging from social networks to biochemical analysis, serve as the foundation for diverse real-world systems. While graph neural networks demonstrate proficiency in modeling this type of data,…

Machine Learning · Computer Science 2024-06-21 Wei Ju , Siyu Yi , Yifan Wang , Qingqing Long , Junyu Luo , Zhiping Xiao , Ming Zhang

Dynamic Graph Neural Networks (GNNs) combine temporal information with GNNs to capture structural, temporal, and contextual relationships in dynamic graphs simultaneously, leading to enhanced performance in various applications. As the…

Machine Learning · Computer Science 2024-05-02 ZhengZhao Feng , Rui Wang , TianXing Wang , Mingli Song , Sai Wu , Shuibing He

The emergence of Linked Data on the WWW has spawned research interest in an online execution of declarative queries over this data. A particularly interesting approach is traversal-based query execution which fetches data by traversing data…

Databases · Computer Science 2016-07-06 Olaf Hartig , M. Tamer Özsu

We present a distributed data structure, which we call the rainbow skip graph. To our knowledge, this is the first peer-to-peer data structure that simultaneously achieves high fault tolerance, constant-sized nodes, and fast update and…

Data Structures and Algorithms · Computer Science 2009-05-15 Michael T. Goodrich , Michael J. Nelson , Jonathan Z. Sun

We give offline algorithms for processing a sequence of $2$ and $3$ edge and vertex connectivity queries in a fully-dynamic undirected graph. While the current best fully-dynamic online data structures for $3$-edge and $3$-vertex…

Data Structures and Algorithms · Computer Science 2019-03-22 Richard Peng , Bryce Sandlund , Daniel D. Sleator

Graph databases have been the subject of significant research and development. Problems such as modularity, centrality, alignment, and clustering have been formalized and solved in various application contexts. In this paper, we focus on…

Social and Information Networks · Computer Science 2019-08-09 Vikram Ravindra , Huda Nassar , David F. Gleich , Ananth Grama

On one hand, compared with traditional relational and XML models, graphs have more expressive power and are widely used today. On the other hand, various applications of social computing trigger the pressing need of a new search paradigm.…

Databases · Computer Science 2017-02-28 Shuai Ma , Jia Li , Chunming Hu , Xuelian Lin , Jinpeng Huai

The visualization of hierarchically structured data over time is an ongoing challenge and several approaches exist trying to solve it. Techniques such as animated or juxtaposed tree visualizations are not capable of providing a good…

Graphics · Computer Science 2020-02-11 Fabian Bolte , Mahsan Nourani , Eric D. Ragan , Stefan Bruckner

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

Data Structures and Algorithms · Computer Science 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

Signed graphs are widely used to analyze complex systems such as social, political, and biological networks. The notion of balance, a key concept of signed graphs, reflects the stability of relationships. While it has been extensively…

Data Structures and Algorithms · Computer Science 2026-05-19 Zeyu Wang , Kudria Sergei , Jingbang Chen , Jiawei Chen , Xinyu Wang , Xiaodong Luo , Can Wang

Vertex connectivity and its variants are among the most fundamental problems in graph theory, with decades of extensive study and numerous algorithmic advances. The directed variants of vertex connectivity are usually solved by manually…

Data Structures and Algorithms · Computer Science 2025-10-24 Olivier Fischer , Yonggang Jiang , Sagnik Mukhopadhyay , Sorrachai Yingchareonthawornchai
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