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Network data has emerged as an active research area in statistics. Much of the focus of ongoing research has been on static networks that represent a single snapshot or aggregated historical data unchanging over time. However, most networks…

Applications · Statistics 2021-02-23 Lata Kodali , Srijan Sengupta , Leanna House , William H. Woodall

Researchers, policy makers, and engineers need to make sense of data from spreading processes as diverse as rumor spreading in social networks, viral infections, and water contamination. Classical questions include predicting infection…

Data Structures and Algorithms · Computer Science 2026-01-08 Ben Bals , Michelle Döring , Nicolas Klodt , George Skretas

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson

Measuring the topological overlap of two graphs becomes important when assessing the changes between temporally adjacent graphs in a time-evolving network. Current methods depend on the fraction of nodes that have persisting edges. This…

Physics and Society · Physics 2014-03-06 Fiona Pigott , Mauricio Rene Herrera Marin

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of…

Statistical Mechanics · Physics 2013-10-23 Bruno Ribeiro , Nicola Perra , Andrea Baronchelli

We develop a framework to track the structure of temporal networks with a signal processing approach. The method is based on the duality between networks and signals using a multidimensional scaling technique. This enables a study of the…

Social and Information Networks · Computer Science 2015-05-13 Ronan Hamon , Pierre Borgnat , Patrick Flandrin , Céline Robardet

Networks are widely used to model real-world systems and uncover their topological features. Network properties such as the degree distribution and shortest path length have been computed in numerous real-world networks, and most of them…

Social and Information Networks · Computer Science 2017-07-17 David Aparício , Pedro Ribeiro , Fernando Silva

Nodes movements play a significant role in disseminating messages in the sparse mobile ad-hoc network. In the network scenarios, where traditional end-to-end paths do not exist, mobility creates opportunities for nodes to connect and…

Networking and Internet Architecture · Computer Science 2013-05-07 Hemal Shah , Yogeshwar Kosta , Vikrant Patel

In this work we study the topological properties of temporal hypergraphs. Hypergraphs provide a higher dimensional generalization of a graph that is capable of capturing multi-way connections. As such, they have become an integral part of…

Computational Geometry · Computer Science 2023-02-07 Audun Myers , Cliff Joslyn , Bill Kay , Emilie Purvine , Gregory Roek , Madelyn Shapiro

The traffic in wireless networks has become diverse and fluctuating both spatially and temporally due to the emergence of new wireless applications and the complexity of scenarios. The purpose of this paper is to quantitatively analyze the…

Networking and Internet Architecture · Computer Science 2020-08-27 Gang Wang , Yi Zhong , Rongpeng Li , Xiaohu Ge , Tony Q. S. Quek , Guoqiang Mao

Temporal networks are a class of time-varying networks, which change their topology according to a given time-ordered sequence of static networks (known as subsystems). This paper investigates the reachability and controllability of…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Yuan Zhang , Yuanqing Xia , Long Wang

Many real-world complex systems including human interactions can be represented by temporal (or evolving) networks, where links activate or deactivate over time. Characterizing temporal networks is crucial to compare such systems and to…

Physics and Society · Physics 2022-08-30 Alberto Ceria , Shlomo Havlin , Alan Hanjalic , Huijuan Wang

An important feature of all real-world networks is that the network structure changes over time. Due to this dynamic nature, it becomes difficult to propose suitable growth models that can explain the various important characteristic…

Social and Information Networks · Computer Science 2016-02-17 Sandipan Sikdar , Niloy Ganguly , Animesh Mukherjee

Complexity of dynamical networks can arise not only from the complexity of the topological structure but also from the time evolution of the topology. In this paper, we study the synchronous motion of coupled maps in time-varying complex…

Chaotic Dynamics · Physics 2008-12-16 Wenlian Lu , Fatihcan M. Atay , Jürgen Jost

Networks model the architecture backbone of complex systems. The backbone itself can change over time leading to what is called `temporal networks'. Interpreting temporal networks as trajectories in graph space of a latent graph dynamics…

Physics and Society · Physics 2024-12-20 Annalisa Caligiuri , Tobias Galla , Lucas Lacasa

Network classification has a variety of applications, such as detecting communities within networks and finding similarities between those representing different aspects of the real world. However, most existing work in this area focus on…

Social and Information Networks · Computer Science 2018-08-08 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam D. Turner

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

Temporal graphs represent interactions between entities over time. Deciding whether entities can reach each other through temporal paths is useful for various applications such as in communication networks and epidemiology. Previous works…

Data Structures and Algorithms · Computer Science 2023-08-24 Luiz Fernando Afra Brito , Marcelo Keese Albertini , Bruno Augusto Nassif Travençolo , Gonzalo Navarro

Temporal information is increasingly available as part of large network data sets. This information reveals sequences of link activations between network entities, which can expose underlying processes in the data. Examples include the…

Social and Information Networks · Computer Science 2016-05-10 Ursula Redmond , Pádraig Cunningham