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Decomposing hypergraphs is a key task in hypergraph analysis with broad applications in community detection, pattern discovery, and task scheduling. Existing approaches such as $k$-core and neighbor-$k$-core rely on vertex degree…

Social and Information Networks · Computer Science 2026-04-10 Xiaoyu Leng , Hongchao Qin , Rong-Hua Li

We study the temporal co-variation of network co-evolution via the cross-link structure of networks, for which we take advantage of the formalism of hypergraphs to map cross-link structures back to network nodes. We investigate two sets of…

Disordered Systems and Neural Networks · Physics 2015-06-16 Danielle S. Bassett , Nicholas F. Wymbs , Mason A. Porter , Peter J. Mucha , Scott T. Grafton

A temporal graph is a sequence of graphs (called layers) over the same vertex set -- describing a graph topology which is subject to discrete changes over time. A $\Delta$-temporal matching $M$ is a set of time edges $(e,t)$ (an edge $e$…

Data Structures and Algorithms · Computer Science 2021-04-26 Philipp Zschoche

We describe a novel method for modeling non-stationary multivariate time series, with time-varying conditional dependencies represented through dynamic networks. Our proposed approach combines traditional multi-scale modeling and network…

Methodology · Statistics 2017-12-25 Xinyu Kang , Apratim Ganguly , Eric D. Kolaczyk

Tucker decomposition has been widely used in a variety of applications to obtain latent factors of tensor data. In these applications, a common need is to compute Tucker decomposition for a given time range. Furthermore, real-world tensor…

Data Structures and Algorithms · Computer Science 2025-01-14 Ruizhong Qiu , Jun-Gi Jang , Xiao Lin , Lihui Liu , Hanghang Tong

Temporal (or time-evolving) networks are commonly used to model complex systems and the evolution of their components throughout time. Although these networks can be analyzed by different means, visual analytics stands out as an effective…

Human-Computer Interaction · Computer Science 2022-10-06 Claudio D. G. Linhares , Jean R. Ponciano , Diogenes S. Pedro , Luis E. C. Rocha , Agma J. M. Traina , Jorge Poco

Finding dense components in graphs is of great importance in analyzing the structure of networks. Popular and computationally feasible frameworks for discovering dense subgraphs are core and truss decompositions. Recently, Sariyuce et al.…

Social and Information Networks · Computer Science 2021-11-05 Fatemeh Esfahani , Venkatesh Srinivasan , Alex Thomo , Kui Wu

With an exponentially growing number of graphs from disparate repositories, there is a strong need to analyze a graph database containing an extensive collection of small- or medium-sized data graphs (e.g., chemical compounds). Although…

Databases · Computer Science 2022-12-16 Kai Huang , Haibo Hu , Qingqing Ye , Kai Tian , Bolong Zheng , Xiaofang Zhou

The formation of transient networks in response to external stimuli or as a reflection of internal cognitive processes is a hallmark of human brain function. However, its identification in fMRI data of the human brain is notoriously…

Neurons and Cognition · Quantitative Biology 2016-12-05 Gabriele Lohmann , Johannes Stelzer , Verena Zuber , Tilo Buschmann , Daniel Margulies , Andreas Bartels , Klaus Scheffler

We show how to find and efficiently maintain maximal k-edge-connected subgraphs in undirected graphs. In particular, we provide the following results. (1) A general framework for maintaining the maximal k-edge-connected subgraphs upon…

Data Structures and Algorithms · Computer Science 2023-05-02 Loukas Georgiadis , Giuseppe F. Italiano , Evangelos Kosinas , Debasish Pattanayak

Graph compression is a data analysis technique that consists in the replacement of parts of a graph by more general structural patterns in order to reduce its description length. It notably provides interesting exploration tools for the…

Data Structures and Algorithms · Computer Science 2018-07-19 Robin Lamarche-Perrin

Deterministic routing has emerged as a promising technology for future non-terrestrial networks (NTNs), offering the potential to enhance service performance and optimize resource utilization. However, the dynamic nature of network topology…

Networking and Internet Architecture · Computer Science 2024-01-24 Keyi Shi , Jingchao Wang , Hongyan Li , Kan Wang

The heterogeneous structure implies that a very few nodes may play the critical role in maintaining structural and functional properties of a large-scale network. Identifying these vital nodes is one of the most important tasks in network…

Physics and Society · Physics 2020-02-14 Yong Yu , Ming Jing , Na Zhao , Tao Zhou

Knowledge graphs have been demonstrated to be an effective tool for numerous intelligent applications. However, a large amount of valuable knowledge still exists implicitly in the knowledge graphs. To enrich the existing knowledge graphs,…

Artificial Intelligence · Computer Science 2020-11-17 Pengpeng Shao , Guohua Yang , Dawei Zhang , Jianhua Tao , Feihu Che , Tong Liu

In this paper we present a novel algorithm and efficient data structure for anomaly detection based on temporal data. Time-series data are represented by a sequence of symbolic time intervals, describing increasing and decreasing trends, in…

Data Structures and Algorithms · Computer Science 2019-11-05 Roni Mateless , Michael Segal , Robert Moskovitch

The past few years have seen intensive research efforts carried out in some apparently unrelated areas of dynamic systems -- delay-tolerant networks, opportunistic-mobility networks, social networks -- obtaining closely related insights.…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-20 Arnaud Casteigts , Paola Flocchini , Walter Quattrociocchi , Nicola Santoro

Temporal graph neural networks (TGNNs) have been widely used for modeling time-evolving graph-related tasks due to their ability to capture both graph topology dependency and non-linear temporal dynamic. The explanation of TGNNs is of vital…

Machine Learning · Computer Science 2022-09-05 Wenchong He , Minh N. Vu , Zhe Jiang , My T. Thai

Increased attention has been paid over the last four years to dynamic network embedding. Existing dynamic embedding methods, however, consider the problem as limited to the evolution of a topology over a sequence of global, discrete states.…

Machine Learning · Computer Science 2021-11-23 David Bayani

In Social Network Analysis (SNA), k-core decomposition is used to detect hierarchical shells in networks. The application of the K-core decomposition to a network of keywords allows us to represent the conceptual structure of a research…

Methodology · Statistics 2025-02-19 Carmen Gálvez

Detecting anomalies in dynamic graphs is a vital task, with numerous practical applications in areas such as security, finance, and social media. Previous network embedding based methods have been mostly focusing on learning good node…

Machine Learning · Computer Science 2020-05-26 Lei Cai , Zhengzhang Chen , Chen Luo , Jiaping Gui , Jingchao Ni , Ding Li , Haifeng Chen